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Finding the Fourth Proportional to 8,227.94, 11,356.43 and 5,243.18

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Solution

The fourth proportional to 8,227.94, 11,356.43 and 5,243.18 is: 7,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.94 : 11,356.43 = 5,243.18 : x
  2. Step 2: Convert to fraction form
    8,227.94/11,356.43 = 5,243.18/x
  3. Step 3: Cross multiply
    8,227.94x = 11,356.43 × 5,243.18
  4. Step 4: Simplify right side
    8,227.94x = 59,543,723.65
  5. Step 5: Solve for x
    x = 59,543,723.65/8,227.94
  6. Step 6: Final answer
    x = 7,236.78

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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.