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Finding the Fourth Proportional to 7,691.85, 11,534.17 and 4,572.27

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Solution

The fourth proportional to 7,691.85, 11,534.17 and 4,572.27 is: 6,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.85 : 11,534.17 = 4,572.27 : x
  2. Step 2: Convert to fraction form
    7,691.85/11,534.17 = 4,572.27/x
  3. Step 3: Cross multiply
    7,691.85x = 11,534.17 × 4,572.27
  4. Step 4: Simplify right side
    7,691.85x = 52,737,339.47
  5. Step 5: Solve for x
    x = 52,737,339.47/7,691.85
  6. Step 6: Final answer
    x = 6,856.26

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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.