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Finding the Fourth Proportional to 7,550.85, 11,327.85 and 2,286.24

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Solution

The fourth proportional to 7,550.85, 11,327.85 and 2,286.24 is: 3,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.85 : 11,327.85 = 2,286.24 : x
  2. Step 2: Convert to fraction form
    7,550.85/11,327.85 = 2,286.24/x
  3. Step 3: Cross multiply
    7,550.85x = 11,327.85 × 2,286.24
  4. Step 4: Simplify right side
    7,550.85x = 25,898,183.78
  5. Step 5: Solve for x
    x = 25,898,183.78/7,550.85
  6. Step 6: Final answer
    x = 3,429.84

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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.