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Finding the Fourth Proportional to 7,713.78, 11,568.86 and 2,167.65

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Solution

The fourth proportional to 7,713.78, 11,568.86 and 2,167.65 is: 3,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.78 : 11,568.86 = 2,167.65 : x
  2. Step 2: Convert to fraction form
    7,713.78/11,568.86 = 2,167.65/x
  3. Step 3: Cross multiply
    7,713.78x = 11,568.86 × 2,167.65
  4. Step 4: Simplify right side
    7,713.78x = 25,077,236.67
  5. Step 5: Solve for x
    x = 25,077,236.67/7,713.78
  6. Step 6: Final answer
    x = 3,250.97

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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.