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Finding the Fourth Proportional to 7,227.63, 10,843.07 and 2,297.57

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Solution

The fourth proportional to 7,227.63, 10,843.07 and 2,297.57 is: 3,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.63 : 10,843.07 = 2,297.57 : x
  2. Step 2: Convert to fraction form
    7,227.63/10,843.07 = 2,297.57/x
  3. Step 3: Cross multiply
    7,227.63x = 10,843.07 × 2,297.57
  4. Step 4: Simplify right side
    7,227.63x = 24,912,646.64
  5. Step 5: Solve for x
    x = 24,912,646.64/7,227.63
  6. Step 6: Final answer
    x = 3,446.86

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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.