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Finding the Fourth Proportional to 8,227.66, 11,342.36 and 5,865.70

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Solution

The fourth proportional to 8,227.66, 11,342.36 and 5,865.70 is: 8,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.66 : 11,342.36 = 5,865.70 : x
  2. Step 2: Convert to fraction form
    8,227.66/11,342.36 = 5,865.70/x
  3. Step 3: Cross multiply
    8,227.66x = 11,342.36 × 5,865.70
  4. Step 4: Simplify right side
    8,227.66x = 66,530,795.01
  5. Step 5: Solve for x
    x = 66,530,795.01/8,227.66
  6. Step 6: Final answer
    x = 8,086.24

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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.