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Finding the Fourth Proportional to 10,691.72, 14,755.03 and 5,976

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Solution

The fourth proportional to 10,691.72, 14,755.03 and 5,976 is: 8,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.72 : 14,755.03 = 5,976 : x
  2. Step 2: Convert to fraction form
    10,691.72/14,755.03 = 5,976/x
  3. Step 3: Cross multiply
    10,691.72x = 14,755.03 × 5,976
  4. Step 4: Simplify right side
    10,691.72x = 88,176,044.34
  5. Step 5: Solve for x
    x = 88,176,044.34/10,691.72
  6. Step 6: Final answer
    x = 8,247.13

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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.