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Finding the Fourth Proportional to 10,099.67, 15,138.97 and 5,936.27

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Solution

The fourth proportional to 10,099.67, 15,138.97 and 5,936.27 is: 8,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.67 : 15,138.97 = 5,936.27 : x
  2. Step 2: Convert to fraction form
    10,099.67/15,138.97 = 5,936.27/x
  3. Step 3: Cross multiply
    10,099.67x = 15,138.97 × 5,936.27
  4. Step 4: Simplify right side
    10,099.67x = 89,868,922.91
  5. Step 5: Solve for x
    x = 89,868,922.91/10,099.67
  6. Step 6: Final answer
    x = 8,898.21

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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.