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Finding the Fourth Proportional to 10,689.59, 14,727.49 and 7,456.32

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Solution

The fourth proportional to 10,689.59, 14,727.49 and 7,456.32 is: 10,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.59 : 14,727.49 = 7,456.32 : x
  2. Step 2: Convert to fraction form
    10,689.59/14,727.49 = 7,456.32/x
  3. Step 3: Cross multiply
    10,689.59x = 14,727.49 × 7,456.32
  4. Step 4: Simplify right side
    10,689.59x = 109,812,859.60
  5. Step 5: Solve for x
    x = 109,812,859.60/10,689.59
  6. Step 6: Final answer
    x = 10,272.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.