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Finding the Fourth Proportional to 10,707.29, 16,064.17 and 7,593.31

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Solution

The fourth proportional to 10,707.29, 16,064.17 and 7,593.31 is: 11,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.29 : 16,064.17 = 7,593.31 : x
  2. Step 2: Convert to fraction form
    10,707.29/16,064.17 = 7,593.31/x
  3. Step 3: Cross multiply
    10,707.29x = 16,064.17 × 7,593.31
  4. Step 4: Simplify right side
    10,707.29x = 121,980,222.70
  5. Step 5: Solve for x
    x = 121,980,222.70/10,707.29
  6. Step 6: Final answer
    x = 11,392.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.