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Finding the Fourth Proportional to 8,091.77, 11,168.31 and 5,105.61

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Solution

The fourth proportional to 8,091.77, 11,168.31 and 5,105.61 is: 7,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.77 : 11,168.31 = 5,105.61 : x
  2. Step 2: Convert to fraction form
    8,091.77/11,168.31 = 5,105.61/x
  3. Step 3: Cross multiply
    8,091.77x = 11,168.31 × 5,105.61
  4. Step 4: Simplify right side
    8,091.77x = 57,021,035.22
  5. Step 5: Solve for x
    x = 57,021,035.22/8,091.77
  6. Step 6: Final answer
    x = 7,046.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.