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Finding the Fourth Proportional to 8,327.97, 11,493.63 and 4,791.15

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Solution

The fourth proportional to 8,327.97, 11,493.63 and 4,791.15 is: 6,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.97 : 11,493.63 = 4,791.15 : x
  2. Step 2: Convert to fraction form
    8,327.97/11,493.63 = 4,791.15/x
  3. Step 3: Cross multiply
    8,327.97x = 11,493.63 × 4,791.15
  4. Step 4: Simplify right side
    8,327.97x = 55,067,705.37
  5. Step 5: Solve for x
    x = 55,067,705.37/8,327.97
  6. Step 6: Final answer
    x = 6,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.