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Finding the Fourth Proportional to 11,524.75, 15,902.87 and 6,489.52

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Solution

The fourth proportional to 11,524.75, 15,902.87 and 6,489.52 is: 8,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.75 : 15,902.87 = 6,489.52 : x
  2. Step 2: Convert to fraction form
    11,524.75/15,902.87 = 6,489.52/x
  3. Step 3: Cross multiply
    11,524.75x = 15,902.87 × 6,489.52
  4. Step 4: Simplify right side
    11,524.75x = 103,201,920.72
  5. Step 5: Solve for x
    x = 103,201,920.72/11,524.75
  6. Step 6: Final answer
    x = 8,954.81

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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.