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Finding the Fourth Proportional to 8,091.36, 12,139.96 and 2,827.14

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Solution

The fourth proportional to 8,091.36, 12,139.96 and 2,827.14 is: 4,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.36 : 12,139.96 = 2,827.14 : x
  2. Step 2: Convert to fraction form
    8,091.36/12,139.96 = 2,827.14/x
  3. Step 3: Cross multiply
    8,091.36x = 12,139.96 × 2,827.14
  4. Step 4: Simplify right side
    8,091.36x = 34,321,352.38
  5. Step 5: Solve for x
    x = 34,321,352.38/8,091.36
  6. Step 6: Final answer
    x = 4,241.73

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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.