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Finding the Fourth Proportional to 11,974.50, 17,957.42 and 5,049.54

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Solution

The fourth proportional to 11,974.50, 17,957.42 and 5,049.54 is: 7,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.50 : 17,957.42 = 5,049.54 : x
  2. Step 2: Convert to fraction form
    11,974.50/17,957.42 = 5,049.54/x
  3. Step 3: Cross multiply
    11,974.50x = 17,957.42 × 5,049.54
  4. Step 4: Simplify right side
    11,974.50x = 90,676,620.80
  5. Step 5: Solve for x
    x = 90,676,620.80/11,974.50
  6. Step 6: Final answer
    x = 7,572.48

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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.