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Finding the Fourth Proportional to 11,843.97, 16,347.83 and 6,808.75

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Solution

The fourth proportional to 11,843.97, 16,347.83 and 6,808.75 is: 9,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.97 : 16,347.83 = 6,808.75 : x
  2. Step 2: Convert to fraction form
    11,843.97/16,347.83 = 6,808.75/x
  3. Step 3: Cross multiply
    11,843.97x = 16,347.83 × 6,808.75
  4. Step 4: Simplify right side
    11,843.97x = 111,308,189.61
  5. Step 5: Solve for x
    x = 111,308,189.61/11,843.97
  6. Step 6: Final answer
    x = 9,397.88

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