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Finding the Fourth Proportional to 11,844.92, 16,344.66 and 6,538.40

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Solution

The fourth proportional to 11,844.92, 16,344.66 and 6,538.40 is: 9,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.92 : 16,344.66 = 6,538.40 : x
  2. Step 2: Convert to fraction form
    11,844.92/16,344.66 = 6,538.40/x
  3. Step 3: Cross multiply
    11,844.92x = 16,344.66 × 6,538.40
  4. Step 4: Simplify right side
    11,844.92x = 106,868,002.58
  5. Step 5: Solve for x
    x = 106,868,002.58/11,844.92
  6. Step 6: Final answer
    x = 9,022.27

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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.