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Finding the Fourth Proportional to 8,517.97, 11,756.43 and 4,791.97

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Solution

The fourth proportional to 8,517.97, 11,756.43 and 4,791.97 is: 6,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.97 : 11,756.43 = 4,791.97 : x
  2. Step 2: Convert to fraction form
    8,517.97/11,756.43 = 4,791.97/x
  3. Step 3: Cross multiply
    8,517.97x = 11,756.43 × 4,791.97
  4. Step 4: Simplify right side
    8,517.97x = 56,336,459.87
  5. Step 5: Solve for x
    x = 56,336,459.87/8,517.97
  6. Step 6: Final answer
    x = 6,613.84

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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.