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Finding the Fourth Proportional to 10,201.52, 15,306.67 and 5,524.87

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Solution

The fourth proportional to 10,201.52, 15,306.67 and 5,524.87 is: 8,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.52 : 15,306.67 = 5,524.87 : x
  2. Step 2: Convert to fraction form
    10,201.52/15,306.67 = 5,524.87/x
  3. Step 3: Cross multiply
    10,201.52x = 15,306.67 × 5,524.87
  4. Step 4: Simplify right side
    10,201.52x = 84,567,361.88
  5. Step 5: Solve for x
    x = 84,567,361.88/10,201.52
  6. Step 6: Final answer
    x = 8,289.68

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