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Finding the Fourth Proportional to 7,502.28, 11,229.57 and 6,103.74

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Solution

The fourth proportional to 7,502.28, 11,229.57 and 6,103.74 is: 9,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.28 : 11,229.57 = 6,103.74 : x
  2. Step 2: Convert to fraction form
    7,502.28/11,229.57 = 6,103.74/x
  3. Step 3: Cross multiply
    7,502.28x = 11,229.57 × 6,103.74
  4. Step 4: Simplify right side
    7,502.28x = 68,542,375.59
  5. Step 5: Solve for x
    x = 68,542,375.59/7,502.28
  6. Step 6: Final answer
    x = 9,136.21

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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.