I try to explain to her that reading is fundamental and also builds your vocabulary.
That is about the last argument to get a ten year old to read. You know, that green juce that tastes like grass clippings? But it's soooo good for you! So please don't ever say this again to her...
A book should be a gateway to another world, something that holds you captive and is something enjoyable. What exactly fascinates your child is secondary - if she's currently into Monster High, for heaven's sake let her.
Of course there are a few feet of "approved" or "good" children's literature in every store or library, but your primary goal ist to get her reading, right? Some children are into fiction or fantasy, others prefer scientific books about subjects they are interested in. So offer a wide range of choices - access to a library is a good start without breaking the budget and so are second-hand bookstores - but let her choose. For ideas and suggestions, either ask your local (childrens) book store, your librarian or visit one of the websites offering information.
If your budget allows, there are a few scientific magazines geared towards children. With short articles and a wide variety of topics including fun trivia they are often less daunting than an entire "big" book. (A subscription also makes a great birthday gift, btw., especially from relatives that are further away, the monthly edition saying "I love you" regularly.) And they come as digital editions, too, should an iPad or similar be more tempting than paper.
Does she have friends she could swap books with? If your BFF just read a book you simply have to read it too, so that you can talk about it. And if you are the one that read it first... Who says that it's only you that needs to do the encouraging? Peer pressure in a positive sense... ^_^
Almost equally important is to establish reading as a habit, something that becomes an automatism under certain circumstances. For our family, everyone loves to read in bed, typically at bedtime to wind down, but I have also found my children continue the book from the evening before when they woke early. The prospect of being allowed to stay awake a bit longer instead of going to sleep right away would entice my children even if they weren't voracious readers already. Books can help bridge boring (adult) events - but you need to leave the handheld electronic devices at home. (Hint: They can run out of battery if you conveniently "forget" to charge them...)
But remember that reading skills aren't about books alone - ask her to get information for you from various sources, be it school letters about upcomming events, newspaper headlines or instructions on the back of a pack of Hamburger Helper. Reading is not only about building vocabulary, but also about acquiring information - make reading something that is done "en passant", not necessary a skill that stands alone and is done only at school or at bedtime.
And my final suggestion: Use the approaching fall and winter to curl up on the sofa with a good book and a cup of tea yourself, perhaps she will choose to join you. If not, you will at least be relaxed for another round of "parenting"!
If I interpret your other questions correctly, your daughter has an older brother - if he doesn't read he might be the "role model" she's currently adhering to. You might have to get him on (the book-)board, too.