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Finding the Fourth Proportional to 8,096.39, 12,142.97 and 2,251.43

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Solution

The fourth proportional to 8,096.39, 12,142.97 and 2,251.43 is: 3,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.39 : 12,142.97 = 2,251.43 : x
  2. Step 2: Convert to fraction form
    8,096.39/12,142.97 = 2,251.43/x
  3. Step 3: Cross multiply
    8,096.39x = 12,142.97 × 2,251.43
  4. Step 4: Simplify right side
    8,096.39x = 27,339,035.69
  5. Step 5: Solve for x
    x = 27,339,035.69/8,096.39
  6. Step 6: Final answer
    x = 3,376.69

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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.