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Finding the Fourth Proportional to 11,843.81, 16,344.34 and 6,538.66

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Solution

The fourth proportional to 11,843.81, 16,344.34 and 6,538.66 is: 9,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.81 : 16,344.34 = 6,538.66 : x
  2. Step 2: Convert to fraction form
    11,843.81/16,344.34 = 6,538.66/x
  3. Step 3: Cross multiply
    11,843.81x = 16,344.34 × 6,538.66
  4. Step 4: Simplify right side
    11,843.81x = 106,870,082.18
  5. Step 5: Solve for x
    x = 106,870,082.18/11,843.81
  6. Step 6: Final answer
    x = 9,023.29

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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.