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Finding the Fourth Proportional to 11,697.30, 17,546.85 and 3,906.12

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Solution

The fourth proportional to 11,697.30, 17,546.85 and 3,906.12 is: 5,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.30 : 17,546.85 = 3,906.12 : x
  2. Step 2: Convert to fraction form
    11,697.30/17,546.85 = 3,906.12/x
  3. Step 3: Cross multiply
    11,697.30x = 17,546.85 × 3,906.12
  4. Step 4: Simplify right side
    11,697.30x = 68,540,101.72
  5. Step 5: Solve for x
    x = 68,540,101.72/11,697.30
  6. Step 6: Final answer
    x = 5,859.48

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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.