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Finding the Fourth Proportional to 8,131.05, 12,172.82 and 7,352.84

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Solution

The fourth proportional to 8,131.05, 12,172.82 and 7,352.84 is: 11,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.05 : 12,172.82 = 7,352.84 : x
  2. Step 2: Convert to fraction form
    8,131.05/12,172.82 = 7,352.84/x
  3. Step 3: Cross multiply
    8,131.05x = 12,172.82 × 7,352.84
  4. Step 4: Simplify right side
    8,131.05x = 89,504,791.48
  5. Step 5: Solve for x
    x = 89,504,791.48/8,131.05
  6. Step 6: Final answer
    x = 11,007.78

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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.