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Finding the Fourth Proportional to 7,725.38, 11,589.01 and 2,794.30

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Solution

The fourth proportional to 7,725.38, 11,589.01 and 2,794.30 is: 4,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.38 : 11,589.01 = 2,794.30 : x
  2. Step 2: Convert to fraction form
    7,725.38/11,589.01 = 2,794.30/x
  3. Step 3: Cross multiply
    7,725.38x = 11,589.01 × 2,794.30
  4. Step 4: Simplify right side
    7,725.38x = 32,383,134.68
  5. Step 5: Solve for x
    x = 32,383,134.68/7,725.38
  6. Step 6: Final answer
    x = 4,191.79

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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.