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Finding the Fourth Proportional to 11,843.52, 16,343.90 and 6,538.22

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Solution

The fourth proportional to 11,843.52, 16,343.90 and 6,538.22 is: 9,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.52 : 16,343.90 = 6,538.22 : x
  2. Step 2: Convert to fraction form
    11,843.52/16,343.90 = 6,538.22/x
  3. Step 3: Cross multiply
    11,843.52x = 16,343.90 × 6,538.22
  4. Step 4: Simplify right side
    11,843.52x = 106,860,013.86
  5. Step 5: Solve for x
    x = 106,860,013.86/11,843.52
  6. Step 6: Final answer
    x = 9,022.66

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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.