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Finding the Fourth Proportional to 8,322.20, 12,481.92 and 2,477.44

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Solution

The fourth proportional to 8,322.20, 12,481.92 and 2,477.44 is: 3,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.20 : 12,481.92 = 2,477.44 : x
  2. Step 2: Convert to fraction form
    8,322.20/12,481.92 = 2,477.44/x
  3. Step 3: Cross multiply
    8,322.20x = 12,481.92 × 2,477.44
  4. Step 4: Simplify right side
    8,322.20x = 30,923,176.68
  5. Step 5: Solve for x
    x = 30,923,176.68/8,322.20
  6. Step 6: Final answer
    x = 3,715.75

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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.