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Finding the Fourth Proportional to 8,414.16, 12,624.03 and 3,733.53

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Solution

The fourth proportional to 8,414.16, 12,624.03 and 3,733.53 is: 5,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.16 : 12,624.03 = 3,733.53 : x
  2. Step 2: Convert to fraction form
    8,414.16/12,624.03 = 3,733.53/x
  3. Step 3: Cross multiply
    8,414.16x = 12,624.03 × 3,733.53
  4. Step 4: Simplify right side
    8,414.16x = 47,132,194.73
  5. Step 5: Solve for x
    x = 47,132,194.73/8,414.16
  6. Step 6: Final answer
    x = 5,601.53

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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.