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Finding the Fourth Proportional to 11,337.52, 15,648.24 and 7,144.96

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Solution

The fourth proportional to 11,337.52, 15,648.24 and 7,144.96 is: 9,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.52 : 15,648.24 = 7,144.96 : x
  2. Step 2: Convert to fraction form
    11,337.52/15,648.24 = 7,144.96/x
  3. Step 3: Cross multiply
    11,337.52x = 15,648.24 × 7,144.96
  4. Step 4: Simplify right side
    11,337.52x = 111,806,048.87
  5. Step 5: Solve for x
    x = 111,806,048.87/11,337.52
  6. Step 6: Final answer
    x = 9,861.60

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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.