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Finding the Fourth Proportional to 8,023.92, 12,037.38 and 3,641.68

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Solution

The fourth proportional to 8,023.92, 12,037.38 and 3,641.68 is: 5,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.92 : 12,037.38 = 3,641.68 : x
  2. Step 2: Convert to fraction form
    8,023.92/12,037.38 = 3,641.68/x
  3. Step 3: Cross multiply
    8,023.92x = 12,037.38 × 3,641.68
  4. Step 4: Simplify right side
    8,023.92x = 43,836,286.00
  5. Step 5: Solve for x
    x = 43,836,286.00/8,023.92
  6. Step 6: Final answer
    x = 5,463.20

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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.