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Finding the Fourth Proportional to 7,472.25, 10,311.33 and 4,114.43

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Solution

The fourth proportional to 7,472.25, 10,311.33 and 4,114.43 is: 5,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.25 : 10,311.33 = 4,114.43 : x
  2. Step 2: Convert to fraction form
    7,472.25/10,311.33 = 4,114.43/x
  3. Step 3: Cross multiply
    7,472.25x = 10,311.33 × 4,114.43
  4. Step 4: Simplify right side
    7,472.25x = 42,425,245.49
  5. Step 5: Solve for x
    x = 42,425,245.49/7,472.25
  6. Step 6: Final answer
    x = 5,677.71

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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.