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Finding the Fourth Proportional to 8,249.62, 12,375.87 and 3,632.50

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Solution

The fourth proportional to 8,249.62, 12,375.87 and 3,632.50 is: 5,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.62 : 12,375.87 = 3,632.50 : x
  2. Step 2: Convert to fraction form
    8,249.62/12,375.87 = 3,632.50/x
  3. Step 3: Cross multiply
    8,249.62x = 12,375.87 × 3,632.50
  4. Step 4: Simplify right side
    8,249.62x = 44,955,347.78
  5. Step 5: Solve for x
    x = 44,955,347.78/8,249.62
  6. Step 6: Final answer
    x = 5,449.38

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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.