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Finding the Fourth Proportional to 8,107.97, 12,167.42 and 3,177

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Solution

The fourth proportional to 8,107.97, 12,167.42 and 3,177 is: 4,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.97 : 12,167.42 = 3,177 : x
  2. Step 2: Convert to fraction form
    8,107.97/12,167.42 = 3,177/x
  3. Step 3: Cross multiply
    8,107.97x = 12,167.42 × 3,177
  4. Step 4: Simplify right side
    8,107.97x = 38,655,877.46
  5. Step 5: Solve for x
    x = 38,655,877.46/8,107.97
  6. Step 6: Final answer
    x = 4,767.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.