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Finding the Fourth Proportional to 8,157.09, 12,234.17 and 3,713.70

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Solution

The fourth proportional to 8,157.09, 12,234.17 and 3,713.70 is: 5,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.09 : 12,234.17 = 3,713.70 : x
  2. Step 2: Convert to fraction form
    8,157.09/12,234.17 = 3,713.70/x
  3. Step 3: Cross multiply
    8,157.09x = 12,234.17 × 3,713.70
  4. Step 4: Simplify right side
    8,157.09x = 45,434,023.47
  5. Step 5: Solve for x
    x = 45,434,023.47/8,157.09
  6. Step 6: Final answer
    x = 5,569.88

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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.