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Finding the Fourth Proportional to 11,656.62, 17,473.77 and 3,861.18

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Solution

The fourth proportional to 11,656.62, 17,473.77 and 3,861.18 is: 5,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.62 : 17,473.77 = 3,861.18 : x
  2. Step 2: Convert to fraction form
    11,656.62/17,473.77 = 3,861.18/x
  3. Step 3: Cross multiply
    11,656.62x = 17,473.77 × 3,861.18
  4. Step 4: Simplify right side
    11,656.62x = 67,469,371.25
  5. Step 5: Solve for x
    x = 67,469,371.25/11,656.62
  6. Step 6: Final answer
    x = 5,788.07

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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.