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Finding the Fourth Proportional to 7,641.52, 11,463.96 and 2,447.92

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Solution

The fourth proportional to 7,641.52, 11,463.96 and 2,447.92 is: 3,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.52 : 11,463.96 = 2,447.92 : x
  2. Step 2: Convert to fraction form
    7,641.52/11,463.96 = 2,447.92/x
  3. Step 3: Cross multiply
    7,641.52x = 11,463.96 × 2,447.92
  4. Step 4: Simplify right side
    7,641.52x = 28,062,856.96
  5. Step 5: Solve for x
    x = 28,062,856.96/7,641.52
  6. Step 6: Final answer
    x = 3,672.42

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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.