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Finding the Fourth Proportional to 8,107.77, 12,156.78 and 3,171.53

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Solution

The fourth proportional to 8,107.77, 12,156.78 and 3,171.53 is: 4,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.77 : 12,156.78 = 3,171.53 : x
  2. Step 2: Convert to fraction form
    8,107.77/12,156.78 = 3,171.53/x
  3. Step 3: Cross multiply
    8,107.77x = 12,156.78 × 3,171.53
  4. Step 4: Simplify right side
    8,107.77x = 38,555,592.47
  5. Step 5: Solve for x
    x = 38,555,592.47/8,107.77
  6. Step 6: Final answer
    x = 4,755.39

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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.