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Which of the following has the greatest value?

(a) $\left(\frac{11}{7}\right)^3$

(b) $\left(\frac{5}{3}\right)^3$

(c) $\left(\frac{7}{4}\right)^3$

(d) $\left(\frac{9}{5}\right)^3$

(e) $\left(\frac{3}{2}\right)^3$

*This problem is taken from the UKMT Mathematical Challenges.*

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