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Finding the Fourth Proportional to 8,227.26, 12,340.88 and 2,071.26

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Solution

The fourth proportional to 8,227.26, 12,340.88 and 2,071.26 is: 3,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.26 : 12,340.88 = 2,071.26 : x
  2. Step 2: Convert to fraction form
    8,227.26/12,340.88 = 2,071.26/x
  3. Step 3: Cross multiply
    8,227.26x = 12,340.88 × 2,071.26
  4. Step 4: Simplify right side
    8,227.26x = 25,561,171.11
  5. Step 5: Solve for x
    x = 25,561,171.11/8,227.26
  6. Step 6: Final answer
    x = 3,106.89

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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.