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Finding the Fourth Proportional to 8,096.64, 12,137.92 and 3,930.80

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Solution

The fourth proportional to 8,096.64, 12,137.92 and 3,930.80 is: 5,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 12,137.92 = 3,930.80 : x
  2. Step 2: Convert to fraction form
    8,096.64/12,137.92 = 3,930.80/x
  3. Step 3: Cross multiply
    8,096.64x = 12,137.92 × 3,930.80
  4. Step 4: Simplify right side
    8,096.64x = 47,711,735.94
  5. Step 5: Solve for x
    x = 47,711,735.94/8,096.64
  6. Step 6: Final answer
    x = 5,892.78

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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.