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Finding the Fourth Proportional to 7,412.73, 10,227.84 and 4,427.97

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Solution

The fourth proportional to 7,412.73, 10,227.84 and 4,427.97 is: 6,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.73 : 10,227.84 = 4,427.97 : x
  2. Step 2: Convert to fraction form
    7,412.73/10,227.84 = 4,427.97/x
  3. Step 3: Cross multiply
    7,412.73x = 10,227.84 × 4,427.97
  4. Step 4: Simplify right side
    7,412.73x = 45,288,568.68
  5. Step 5: Solve for x
    x = 45,288,568.68/7,412.73
  6. Step 6: Final answer
    x = 6,109.57

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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.