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Finding the Fourth Proportional to 8,134.92, 12,197.16 and 3,753.36

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Solution

The fourth proportional to 8,134.92, 12,197.16 and 3,753.36 is: 5,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.92 : 12,197.16 = 3,753.36 : x
  2. Step 2: Convert to fraction form
    8,134.92/12,197.16 = 3,753.36/x
  3. Step 3: Cross multiply
    8,134.92x = 12,197.16 × 3,753.36
  4. Step 4: Simplify right side
    8,134.92x = 45,780,332.46
  5. Step 5: Solve for x
    x = 45,780,332.46/8,134.92
  6. Step 6: Final answer
    x = 5,627.63

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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.