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Finding the Fourth Proportional to 10,998.20, 16,500.96 and 7,314.95

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Solution

The fourth proportional to 10,998.20, 16,500.96 and 7,314.95 is: 10,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.20 : 16,500.96 = 7,314.95 : x
  2. Step 2: Convert to fraction form
    10,998.20/16,500.96 = 7,314.95/x
  3. Step 3: Cross multiply
    10,998.20x = 16,500.96 × 7,314.95
  4. Step 4: Simplify right side
    10,998.20x = 120,703,614.85
  5. Step 5: Solve for x
    x = 120,703,614.85/10,998.20
  6. Step 6: Final answer
    x = 10,974.86

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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.