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Finding the Fourth Proportional to 8,399.92, 12,596.18 and 3,202.14

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Solution

The fourth proportional to 8,399.92, 12,596.18 and 3,202.14 is: 4,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.92 : 12,596.18 = 3,202.14 : x
  2. Step 2: Convert to fraction form
    8,399.92/12,596.18 = 3,202.14/x
  3. Step 3: Cross multiply
    8,399.92x = 12,596.18 × 3,202.14
  4. Step 4: Simplify right side
    8,399.92x = 40,334,731.83
  5. Step 5: Solve for x
    x = 40,334,731.83/8,399.92
  6. Step 6: Final answer
    x = 4,801.80

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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.