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Finding the Fourth Proportional to 8,086.92, 11,163.78 and 5,436.24

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Solution

The fourth proportional to 8,086.92, 11,163.78 and 5,436.24 is: 7,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.92 : 11,163.78 = 5,436.24 : x
  2. Step 2: Convert to fraction form
    8,086.92/11,163.78 = 5,436.24/x
  3. Step 3: Cross multiply
    8,086.92x = 11,163.78 × 5,436.24
  4. Step 4: Simplify right side
    8,086.92x = 60,688,987.39
  5. Step 5: Solve for x
    x = 60,688,987.39/8,086.92
  6. Step 6: Final answer
    x = 7,504.59

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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.