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Finding the Fourth Proportional to 7,711.58, 11,568.25 and 2,517.46

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Solution

The fourth proportional to 7,711.58, 11,568.25 and 2,517.46 is: 3,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.58 : 11,568.25 = 2,517.46 : x
  2. Step 2: Convert to fraction form
    7,711.58/11,568.25 = 2,517.46/x
  3. Step 3: Cross multiply
    7,711.58x = 11,568.25 × 2,517.46
  4. Step 4: Simplify right side
    7,711.58x = 29,122,606.65
  5. Step 5: Solve for x
    x = 29,122,606.65/7,711.58
  6. Step 6: Final answer
    x = 3,776.48

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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.