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Finding the Fourth Proportional to 8,112.80, 12,171.04 and 2,566.49

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Solution

The fourth proportional to 8,112.80, 12,171.04 and 2,566.49 is: 3,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.80 : 12,171.04 = 2,566.49 : x
  2. Step 2: Convert to fraction form
    8,112.80/12,171.04 = 2,566.49/x
  3. Step 3: Cross multiply
    8,112.80x = 12,171.04 × 2,566.49
  4. Step 4: Simplify right side
    8,112.80x = 31,236,785.18
  5. Step 5: Solve for x
    x = 31,236,785.18/8,112.80
  6. Step 6: Final answer
    x = 3,850.31

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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.