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Finding the Fourth Proportional to 11,647.26, 17,469.03 and 3,855.06

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Solution

The fourth proportional to 11,647.26, 17,469.03 and 3,855.06 is: 5,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.26 : 17,469.03 = 3,855.06 : x
  2. Step 2: Convert to fraction form
    11,647.26/17,469.03 = 3,855.06/x
  3. Step 3: Cross multiply
    11,647.26x = 17,469.03 × 3,855.06
  4. Step 4: Simplify right side
    11,647.26x = 67,344,158.79
  5. Step 5: Solve for x
    x = 67,344,158.79/11,647.26
  6. Step 6: Final answer
    x = 5,781.97

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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.