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Finding the Fourth Proportional to 11,843.28, 16,343.64 and 6,538.09

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Solution

The fourth proportional to 11,843.28, 16,343.64 and 6,538.09 is: 9,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.28 : 16,343.64 = 6,538.09 : x
  2. Step 2: Convert to fraction form
    11,843.28/16,343.64 = 6,538.09/x
  3. Step 3: Cross multiply
    11,843.28x = 16,343.64 × 6,538.09
  4. Step 4: Simplify right side
    11,843.28x = 106,856,189.25
  5. Step 5: Solve for x
    x = 106,856,189.25/11,843.28
  6. Step 6: Final answer
    x = 9,022.52

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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.