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Finding the Fourth Proportional to 8,227.75, 12,347.31 and 7,131.01

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Solution

The fourth proportional to 8,227.75, 12,347.31 and 7,131.01 is: 10,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.75 : 12,347.31 = 7,131.01 : x
  2. Step 2: Convert to fraction form
    8,227.75/12,347.31 = 7,131.01/x
  3. Step 3: Cross multiply
    8,227.75x = 12,347.31 × 7,131.01
  4. Step 4: Simplify right side
    8,227.75x = 88,048,791.08
  5. Step 5: Solve for x
    x = 88,048,791.08/8,227.75
  6. Step 6: Final answer
    x = 10,701.44

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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.