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Finding the Fourth Proportional to 7,841.97, 11,766.96 and 5,211.27

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Solution

The fourth proportional to 7,841.97, 11,766.96 and 5,211.27 is: 7,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.97 : 11,766.96 = 5,211.27 : x
  2. Step 2: Convert to fraction form
    7,841.97/11,766.96 = 5,211.27/x
  3. Step 3: Cross multiply
    7,841.97x = 11,766.96 × 5,211.27
  4. Step 4: Simplify right side
    7,841.97x = 61,320,805.64
  5. Step 5: Solve for x
    x = 61,320,805.64/7,841.97
  6. Step 6: Final answer
    x = 7,819.57

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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.