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Finding the Fourth Proportional to 8,142.14, 12,214.42 and 2,593.84

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Solution

The fourth proportional to 8,142.14, 12,214.42 and 2,593.84 is: 3,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.14 : 12,214.42 = 2,593.84 : x
  2. Step 2: Convert to fraction form
    8,142.14/12,214.42 = 2,593.84/x
  3. Step 3: Cross multiply
    8,142.14x = 12,214.42 × 2,593.84
  4. Step 4: Simplify right side
    8,142.14x = 31,682,251.17
  5. Step 5: Solve for x
    x = 31,682,251.17/8,142.14
  6. Step 6: Final answer
    x = 3,891.15

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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.