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Finding the Fourth Proportional to 10,672.17, 14,727.90 and 5,892.42

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Solution

The fourth proportional to 10,672.17, 14,727.90 and 5,892.42 is: 8,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.17 : 14,727.90 = 5,892.42 : x
  2. Step 2: Convert to fraction form
    10,672.17/14,727.90 = 5,892.42/x
  3. Step 3: Cross multiply
    10,672.17x = 14,727.90 × 5,892.42
  4. Step 4: Simplify right side
    10,672.17x = 86,782,972.52
  5. Step 5: Solve for x
    x = 86,782,972.52/10,672.17
  6. Step 6: Final answer
    x = 8,131.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.