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Finding the Fourth Proportional to 7,993.08, 11,976.66 and 5,644.08

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Solution

The fourth proportional to 7,993.08, 11,976.66 and 5,644.08 is: 8,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.08 : 11,976.66 = 5,644.08 : x
  2. Step 2: Convert to fraction form
    7,993.08/11,976.66 = 5,644.08/x
  3. Step 3: Cross multiply
    7,993.08x = 11,976.66 × 5,644.08
  4. Step 4: Simplify right side
    7,993.08x = 67,597,227.17
  5. Step 5: Solve for x
    x = 67,597,227.17/7,993.08
  6. Step 6: Final answer
    x = 8,456.97

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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.