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Finding the Fourth Proportional to 11,844.17, 16,344.85 and 6,538.87

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Solution

The fourth proportional to 11,844.17, 16,344.85 and 6,538.87 is: 9,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.17 : 16,344.85 = 6,538.87 : x
  2. Step 2: Convert to fraction form
    11,844.17/16,344.85 = 6,538.87/x
  3. Step 3: Cross multiply
    11,844.17x = 16,344.85 × 6,538.87
  4. Step 4: Simplify right side
    11,844.17x = 106,876,849.32
  5. Step 5: Solve for x
    x = 106,876,849.32/11,844.17
  6. Step 6: Final answer
    x = 9,023.58

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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.