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Finding the Fourth Proportional to 7,713.86, 11,568.98 and 2,167.73

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Solution

The fourth proportional to 7,713.86, 11,568.98 and 2,167.73 is: 3,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.86 : 11,568.98 = 2,167.73 : x
  2. Step 2: Convert to fraction form
    7,713.86/11,568.98 = 2,167.73/x
  3. Step 3: Cross multiply
    7,713.86x = 11,568.98 × 2,167.73
  4. Step 4: Simplify right side
    7,713.86x = 25,078,414.18
  5. Step 5: Solve for x
    x = 25,078,414.18/7,713.86
  6. Step 6: Final answer
    x = 3,251.09

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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.