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Finding the Fourth Proportional to 7,702.31, 11,552.26 and 2,508.15

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Solution

The fourth proportional to 7,702.31, 11,552.26 and 2,508.15 is: 3,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.31 : 11,552.26 = 2,508.15 : x
  2. Step 2: Convert to fraction form
    7,702.31/11,552.26 = 2,508.15/x
  3. Step 3: Cross multiply
    7,702.31x = 11,552.26 × 2,508.15
  4. Step 4: Simplify right side
    7,702.31x = 28,974,800.92
  5. Step 5: Solve for x
    x = 28,974,800.92/7,702.31
  6. Step 6: Final answer
    x = 3,761.83

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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.