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Finding the Fourth Proportional to 8,091.72, 12,129.08 and 5,161.14

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Solution

The fourth proportional to 8,091.72, 12,129.08 and 5,161.14 is: 7,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.72 : 12,129.08 = 5,161.14 : x
  2. Step 2: Convert to fraction form
    8,091.72/12,129.08 = 5,161.14/x
  3. Step 3: Cross multiply
    8,091.72x = 12,129.08 × 5,161.14
  4. Step 4: Simplify right side
    8,091.72x = 62,599,854.15
  5. Step 5: Solve for x
    x = 62,599,854.15/8,091.72
  6. Step 6: Final answer
    x = 7,736.29

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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.