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Finding the Fourth Proportional to 11,693.29, 17,540.84 and 3,902.09

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Solution

The fourth proportional to 11,693.29, 17,540.84 and 3,902.09 is: 5,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.29 : 17,540.84 = 3,902.09 : x
  2. Step 2: Convert to fraction form
    11,693.29/17,540.84 = 3,902.09/x
  3. Step 3: Cross multiply
    11,693.29x = 17,540.84 × 3,902.09
  4. Step 4: Simplify right side
    11,693.29x = 68,445,936.36
  5. Step 5: Solve for x
    x = 68,445,936.36/11,693.29
  6. Step 6: Final answer
    x = 5,853.44

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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.