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Finding the Fourth Proportional to 7,641.76, 11,453.92 and 3,472.44

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Solution

The fourth proportional to 7,641.76, 11,453.92 and 3,472.44 is: 5,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.76 : 11,453.92 = 3,472.44 : x
  2. Step 2: Convert to fraction form
    7,641.76/11,453.92 = 3,472.44/x
  3. Step 3: Cross multiply
    7,641.76x = 11,453.92 × 3,472.44
  4. Step 4: Simplify right side
    7,641.76x = 39,773,099.86
  5. Step 5: Solve for x
    x = 39,773,099.86/7,641.76
  6. Step 6: Final answer
    x = 5,204.71

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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.