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Finding the Fourth Proportional to 8,127.56, 12,194.88 and 2,866.38

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Solution

The fourth proportional to 8,127.56, 12,194.88 and 2,866.38 is: 4,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.56 : 12,194.88 = 2,866.38 : x
  2. Step 2: Convert to fraction form
    8,127.56/12,194.88 = 2,866.38/x
  3. Step 3: Cross multiply
    8,127.56x = 12,194.88 × 2,866.38
  4. Step 4: Simplify right side
    8,127.56x = 34,955,160.13
  5. Step 5: Solve for x
    x = 34,955,160.13/8,127.56
  6. Step 6: Final answer
    x = 4,300.82

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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.