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Finding the Fourth Proportional to 11,251.40, 15,524.34 and 6,532.88

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Solution

The fourth proportional to 11,251.40, 15,524.34 and 6,532.88 is: 9,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.40 : 15,524.34 = 6,532.88 : x
  2. Step 2: Convert to fraction form
    11,251.40/15,524.34 = 6,532.88/x
  3. Step 3: Cross multiply
    11,251.40x = 15,524.34 × 6,532.88
  4. Step 4: Simplify right side
    11,251.40x = 101,418,650.30
  5. Step 5: Solve for x
    x = 101,418,650.30/11,251.40
  6. Step 6: Final answer
    x = 9,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.