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Finding the Fourth Proportional to 7,481.44, 10,324.46 and 4,124.38

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Solution

The fourth proportional to 7,481.44, 10,324.46 and 4,124.38 is: 5,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.44 : 10,324.46 = 4,124.38 : x
  2. Step 2: Convert to fraction form
    7,481.44/10,324.46 = 4,124.38/x
  3. Step 3: Cross multiply
    7,481.44x = 10,324.46 × 4,124.38
  4. Step 4: Simplify right side
    7,481.44x = 42,581,996.33
  5. Step 5: Solve for x
    x = 42,581,996.33/7,481.44
  6. Step 6: Final answer
    x = 5,691.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.