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Finding the Fourth Proportional to 7,930.97, 11,896.96 and 2,665.56

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Solution

The fourth proportional to 7,930.97, 11,896.96 and 2,665.56 is: 3,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.97 : 11,896.96 = 2,665.56 : x
  2. Step 2: Convert to fraction form
    7,930.97/11,896.96 = 2,665.56/x
  3. Step 3: Cross multiply
    7,930.97x = 11,896.96 × 2,665.56
  4. Step 4: Simplify right side
    7,930.97x = 31,712,060.70
  5. Step 5: Solve for x
    x = 31,712,060.70/7,930.97
  6. Step 6: Final answer
    x = 3,998.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.