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Finding the Fourth Proportional to 7,472.85, 10,311.90 and 4,115.13

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Solution

The fourth proportional to 7,472.85, 10,311.90 and 4,115.13 is: 5,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.85 : 10,311.90 = 4,115.13 : x
  2. Step 2: Convert to fraction form
    7,472.85/10,311.90 = 4,115.13/x
  3. Step 3: Cross multiply
    7,472.85x = 10,311.90 × 4,115.13
  4. Step 4: Simplify right side
    7,472.85x = 42,434,809.05
  5. Step 5: Solve for x
    x = 42,434,809.05/7,472.85
  6. Step 6: Final answer
    x = 5,678.53

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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.