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Finding the Fourth Proportional to 8,767, 12,098.82 and 5,041

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Solution

The fourth proportional to 8,767, 12,098.82 and 5,041 is: 6,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767 : 12,098.82 = 5,041 : x
  2. Step 2: Convert to fraction form
    8,767/12,098.82 = 5,041/x
  3. Step 3: Cross multiply
    8,767x = 12,098.82 × 5,041
  4. Step 4: Simplify right side
    8,767x = 60,990,151.62
  5. Step 5: Solve for x
    x = 60,990,151.62/8,767
  6. Step 6: Final answer
    x = 6,956.79

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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.