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Finding the Fourth Proportional to 11,221.38, 16,839.27 and 7,527.78

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Solution

The fourth proportional to 11,221.38, 16,839.27 and 7,527.78 is: 11,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.38 : 16,839.27 = 7,527.78 : x
  2. Step 2: Convert to fraction form
    11,221.38/16,839.27 = 7,527.78/x
  3. Step 3: Cross multiply
    11,221.38x = 16,839.27 × 7,527.78
  4. Step 4: Simplify right side
    11,221.38x = 126,762,319.92
  5. Step 5: Solve for x
    x = 126,762,319.92/11,221.38
  6. Step 6: Final answer
    x = 11,296.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.