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Finding the Fourth Proportional to 7,227.80, 10,843.56 and 2,297.60

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Solution

The fourth proportional to 7,227.80, 10,843.56 and 2,297.60 is: 3,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.80 : 10,843.56 = 2,297.60 : x
  2. Step 2: Convert to fraction form
    7,227.80/10,843.56 = 2,297.60/x
  3. Step 3: Cross multiply
    7,227.80x = 10,843.56 × 2,297.60
  4. Step 4: Simplify right side
    7,227.80x = 24,914,163.46
  5. Step 5: Solve for x
    x = 24,914,163.46/7,227.80
  6. Step 6: Final answer
    x = 3,446.99

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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.