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Finding the Fourth Proportional to 7,489.67, 11,234.77 and 2,809.20

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Solution

The fourth proportional to 7,489.67, 11,234.77 and 2,809.20 is: 4,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.67 : 11,234.77 = 2,809.20 : x
  2. Step 2: Convert to fraction form
    7,489.67/11,234.77 = 2,809.20/x
  3. Step 3: Cross multiply
    7,489.67x = 11,234.77 × 2,809.20
  4. Step 4: Simplify right side
    7,489.67x = 31,560,708.86
  5. Step 5: Solve for x
    x = 31,560,708.86/7,489.67
  6. Step 6: Final answer
    x = 4,213.90

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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.