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Finding the Fourth Proportional to 10,744.52, 16,123.17 and 5,814.06

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Solution

The fourth proportional to 10,744.52, 16,123.17 and 5,814.06 is: 8,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.52 : 16,123.17 = 5,814.06 : x
  2. Step 2: Convert to fraction form
    10,744.52/16,123.17 = 5,814.06/x
  3. Step 3: Cross multiply
    10,744.52x = 16,123.17 × 5,814.06
  4. Step 4: Simplify right side
    10,744.52x = 93,741,077.77
  5. Step 5: Solve for x
    x = 93,741,077.77/10,744.52
  6. Step 6: Final answer
    x = 8,724.55

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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.