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Finding the Fourth Proportional to 7,324.74, 10,108.33 and 4,493.68

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Solution

The fourth proportional to 7,324.74, 10,108.33 and 4,493.68 is: 6,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.74 : 10,108.33 = 4,493.68 : x
  2. Step 2: Convert to fraction form
    7,324.74/10,108.33 = 4,493.68/x
  3. Step 3: Cross multiply
    7,324.74x = 10,108.33 × 4,493.68
  4. Step 4: Simplify right side
    7,324.74x = 45,423,600.35
  5. Step 5: Solve for x
    x = 45,423,600.35/7,324.74
  6. Step 6: Final answer
    x = 6,201.39

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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.