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Finding the Fourth Proportional to 11,251.82, 15,524.12 and 6,535.20

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Solution

The fourth proportional to 11,251.82, 15,524.12 and 6,535.20 is: 9,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.82 : 15,524.12 = 6,535.20 : x
  2. Step 2: Convert to fraction form
    11,251.82/15,524.12 = 6,535.20/x
  3. Step 3: Cross multiply
    11,251.82x = 15,524.12 × 6,535.20
  4. Step 4: Simplify right side
    11,251.82x = 101,453,229.02
  5. Step 5: Solve for x
    x = 101,453,229.02/11,251.82
  6. Step 6: Final answer
    x = 9,016.61

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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.