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Finding the Fourth Proportional to 7,568.82, 11,354.04 and 3,183.48

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Solution

The fourth proportional to 7,568.82, 11,354.04 and 3,183.48 is: 4,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.82 : 11,354.04 = 3,183.48 : x
  2. Step 2: Convert to fraction form
    7,568.82/11,354.04 = 3,183.48/x
  3. Step 3: Cross multiply
    7,568.82x = 11,354.04 × 3,183.48
  4. Step 4: Simplify right side
    7,568.82x = 36,145,359.26
  5. Step 5: Solve for x
    x = 36,145,359.26/7,568.82
  6. Step 6: Final answer
    x = 4,775.56

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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.