Answer
$\gamma = 1.003$
Work Step by Step
We can find $\gamma$:
$K = mc^2~(\gamma-1) = 10.00~MeV$
$\gamma-1 = \frac{10.00~MeV}{mc^2}$
$\gamma = 1+\frac{10.00~MeV}{E_0}$
$\gamma = 1+\frac{10.00~MeV}{3727.40~MeV}$
$\gamma = 1.003$
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