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Finding the Fourth Proportional to 11,843.48, 16,344.03 and 6,538.30

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Solution

The fourth proportional to 11,843.48, 16,344.03 and 6,538.30 is: 9,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.48 : 16,344.03 = 6,538.30 : x
  2. Step 2: Convert to fraction form
    11,843.48/16,344.03 = 6,538.30/x
  3. Step 3: Cross multiply
    11,843.48x = 16,344.03 × 6,538.30
  4. Step 4: Simplify right side
    11,843.48x = 106,862,171.35
  5. Step 5: Solve for x
    x = 106,862,171.35/11,843.48
  6. Step 6: Final answer
    x = 9,022.87

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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.