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Finding the Fourth Proportional to 12,781.26, 17,634.02 and 7,743.87

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Solution

The fourth proportional to 12,781.26, 17,634.02 and 7,743.87 is: 10,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.26 : 17,634.02 = 7,743.87 : x
  2. Step 2: Convert to fraction form
    12,781.26/17,634.02 = 7,743.87/x
  3. Step 3: Cross multiply
    12,781.26x = 17,634.02 × 7,743.87
  4. Step 4: Simplify right side
    12,781.26x = 136,555,519.74
  5. Step 5: Solve for x
    x = 136,555,519.74/12,781.26
  6. Step 6: Final answer
    x = 10,684.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.