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Finding the Fourth Proportional to 8,832.82, 12,189.90 and 5,843.47

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Solution

The fourth proportional to 8,832.82, 12,189.90 and 5,843.47 is: 8,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.82 : 12,189.90 = 5,843.47 : x
  2. Step 2: Convert to fraction form
    8,832.82/12,189.90 = 5,843.47/x
  3. Step 3: Cross multiply
    8,832.82x = 12,189.90 × 5,843.47
  4. Step 4: Simplify right side
    8,832.82x = 71,231,314.95
  5. Step 5: Solve for x
    x = 71,231,314.95/8,832.82
  6. Step 6: Final answer
    x = 8,064.39

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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.