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Finding the Fourth Proportional to 7,436.31, 11,144.82 and 5,674.80

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Solution

The fourth proportional to 7,436.31, 11,144.82 and 5,674.80 is: 8,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.31 : 11,144.82 = 5,674.80 : x
  2. Step 2: Convert to fraction form
    7,436.31/11,144.82 = 5,674.80/x
  3. Step 3: Cross multiply
    7,436.31x = 11,144.82 × 5,674.80
  4. Step 4: Simplify right side
    7,436.31x = 63,244,687.61
  5. Step 5: Solve for x
    x = 63,244,687.61/7,436.31
  6. Step 6: Final answer
    x = 8,504.85

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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.