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Finding the Fourth Proportional to 11,843.40, 16,343.59 and 6,538.11

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Solution

The fourth proportional to 11,843.40, 16,343.59 and 6,538.11 is: 9,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.40 : 16,343.59 = 6,538.11 : x
  2. Step 2: Convert to fraction form
    11,843.40/16,343.59 = 6,538.11/x
  3. Step 3: Cross multiply
    11,843.40x = 16,343.59 × 6,538.11
  4. Step 4: Simplify right side
    11,843.40x = 106,856,189.21
  5. Step 5: Solve for x
    x = 106,856,189.21/11,843.40
  6. Step 6: Final answer
    x = 9,022.43

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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.