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Finding the Fourth Proportional to 6,781.92, 10,168.62 and 3,824.61

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Solution

The fourth proportional to 6,781.92, 10,168.62 and 3,824.61 is: 5,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.92 : 10,168.62 = 3,824.61 : x
  2. Step 2: Convert to fraction form
    6,781.92/10,168.62 = 3,824.61/x
  3. Step 3: Cross multiply
    6,781.92x = 10,168.62 × 3,824.61
  4. Step 4: Simplify right side
    6,781.92x = 38,891,005.74
  5. Step 5: Solve for x
    x = 38,891,005.74/6,781.92
  6. Step 6: Final answer
    x = 5,734.51

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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.