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Finding the Fourth Proportional to 11,793.11, 17,687.70 and 3,472.16

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Solution

The fourth proportional to 11,793.11, 17,687.70 and 3,472.16 is: 5,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.11 : 17,687.70 = 3,472.16 : x
  2. Step 2: Convert to fraction form
    11,793.11/17,687.70 = 3,472.16/x
  3. Step 3: Cross multiply
    11,793.11x = 17,687.70 × 3,472.16
  4. Step 4: Simplify right side
    11,793.11x = 61,414,435.99
  5. Step 5: Solve for x
    x = 61,414,435.99/11,793.11
  6. Step 6: Final answer
    x = 5,207.66

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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.