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Finding the Fourth Proportional to 11,998.80, 17,998.20 and 4,207.61

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Solution

The fourth proportional to 11,998.80, 17,998.20 and 4,207.61 is: 6,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.80 : 17,998.20 = 4,207.61 : x
  2. Step 2: Convert to fraction form
    11,998.80/17,998.20 = 4,207.61/x
  3. Step 3: Cross multiply
    11,998.80x = 17,998.20 × 4,207.61
  4. Step 4: Simplify right side
    11,998.80x = 75,729,451.30
  5. Step 5: Solve for x
    x = 75,729,451.30/11,998.80
  6. Step 6: Final answer
    x = 6,311.42

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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.