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Finding the Fourth Proportional to 8,391.97, 12,587.15 and 2,151.80

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Solution

The fourth proportional to 8,391.97, 12,587.15 and 2,151.80 is: 3,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.97 : 12,587.15 = 2,151.80 : x
  2. Step 2: Convert to fraction form
    8,391.97/12,587.15 = 2,151.80/x
  3. Step 3: Cross multiply
    8,391.97x = 12,587.15 × 2,151.80
  4. Step 4: Simplify right side
    8,391.97x = 27,085,029.37
  5. Step 5: Solve for x
    x = 27,085,029.37/8,391.97
  6. Step 6: Final answer
    x = 3,227.49

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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.