Answer :

10375 = .17x
/.17        /.17

About $61029 = x
Let the initial amount be "X"
Now,
since she lost 17% of her initial amount and she has $10375,  we can write,

17% of X = $10375

[tex] \frac{17}{100} * X =[/tex]$10375

Now, you multiply both sides by [tex] \frac{100}{17} [/tex] to get X by itself,

[tex] \frac{17}{100} * X * \frac{100}{17}= 10375* \frac{100}{17}[/tex]

[tex]X=61029.41176[/tex]

X = $61029.41 (rounded to the tenth decimal place)

So, initially she had $61029.41