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Finding the Fourth Proportional to 7,974.69, 11,961.22 and 2,131.89

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Solution

The fourth proportional to 7,974.69, 11,961.22 and 2,131.89 is: 3,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.69 : 11,961.22 = 2,131.89 : x
  2. Step 2: Convert to fraction form
    7,974.69/11,961.22 = 2,131.89/x
  3. Step 3: Cross multiply
    7,974.69x = 11,961.22 × 2,131.89
  4. Step 4: Simplify right side
    7,974.69x = 25,500,005.31
  5. Step 5: Solve for x
    x = 25,500,005.31/7,974.69
  6. Step 6: Final answer
    x = 3,197.62

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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.