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Finding the Fourth Proportional to 7,713.74, 11,571.06 and 2,167.52

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Solution

The fourth proportional to 7,713.74, 11,571.06 and 2,167.52 is: 3,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.74 : 11,571.06 = 2,167.52 : x
  2. Step 2: Convert to fraction form
    7,713.74/11,571.06 = 2,167.52/x
  3. Step 3: Cross multiply
    7,713.74x = 11,571.06 × 2,167.52
  4. Step 4: Simplify right side
    7,713.74x = 25,080,519.33
  5. Step 5: Solve for x
    x = 25,080,519.33/7,713.74
  6. Step 6: Final answer
    x = 3,251.41

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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.