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Finding the Fourth Proportional to 11,843.61, 16,344.20 and 6,538.43

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Solution

The fourth proportional to 11,843.61, 16,344.20 and 6,538.43 is: 9,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.61 : 16,344.20 = 6,538.43 : x
  2. Step 2: Convert to fraction form
    11,843.61/16,344.20 = 6,538.43/x
  3. Step 3: Cross multiply
    11,843.61x = 16,344.20 × 6,538.43
  4. Step 4: Simplify right side
    11,843.61x = 106,865,293.19
  5. Step 5: Solve for x
    x = 106,865,293.19/11,843.61
  6. Step 6: Final answer
    x = 9,023.03

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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.