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Finding the Fourth Proportional to 11,993.27, 16,546.35 and 6,954.71

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Solution

The fourth proportional to 11,993.27, 16,546.35 and 6,954.71 is: 9,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.27 : 16,546.35 = 6,954.71 : x
  2. Step 2: Convert to fraction form
    11,993.27/16,546.35 = 6,954.71/x
  3. Step 3: Cross multiply
    11,993.27x = 16,546.35 × 6,954.71
  4. Step 4: Simplify right side
    11,993.27x = 115,074,983.08
  5. Step 5: Solve for x
    x = 115,074,983.08/11,993.27
  6. Step 6: Final answer
    x = 9,594.97

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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.