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Finding the Fourth Proportional to 11,546.64, 17,305.92 and 5,996.97

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Solution

The fourth proportional to 11,546.64, 17,305.92 and 5,996.97 is: 8,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.64 : 17,305.92 = 5,996.97 : x
  2. Step 2: Convert to fraction form
    11,546.64/17,305.92 = 5,996.97/x
  3. Step 3: Cross multiply
    11,546.64x = 17,305.92 × 5,996.97
  4. Step 4: Simplify right side
    11,546.64x = 103,783,083.06
  5. Step 5: Solve for x
    x = 103,783,083.06/11,546.64
  6. Step 6: Final answer
    x = 8,988.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.