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Finding the Fourth Proportional to 11,997, 18,001.98 and 5,841

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Solution

The fourth proportional to 11,997, 18,001.98 and 5,841 is: 8,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997 : 18,001.98 = 5,841 : x
  2. Step 2: Convert to fraction form
    11,997/18,001.98 = 5,841/x
  3. Step 3: Cross multiply
    11,997x = 18,001.98 × 5,841
  4. Step 4: Simplify right side
    11,997x = 105,149,565.18
  5. Step 5: Solve for x
    x = 105,149,565.18/11,997
  6. Step 6: Final answer
    x = 8,764.65

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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.