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Finding the Fourth Proportional to 10,998.38, 16,470.20 and 7,696

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Solution

The fourth proportional to 10,998.38, 16,470.20 and 7,696 is: 11,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.38 : 16,470.20 = 7,696 : x
  2. Step 2: Convert to fraction form
    10,998.38/16,470.20 = 7,696/x
  3. Step 3: Cross multiply
    10,998.38x = 16,470.20 × 7,696
  4. Step 4: Simplify right side
    10,998.38x = 126,754,659.20
  5. Step 5: Solve for x
    x = 126,754,659.20/10,998.38
  6. Step 6: Final answer
    x = 11,524.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.