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Finding the Fourth Proportional to 11,768.81, 17,651.34 and 3,446.87

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Solution

The fourth proportional to 11,768.81, 17,651.34 and 3,446.87 is: 5,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.81 : 17,651.34 = 3,446.87 : x
  2. Step 2: Convert to fraction form
    11,768.81/17,651.34 = 3,446.87/x
  3. Step 3: Cross multiply
    11,768.81x = 17,651.34 × 3,446.87
  4. Step 4: Simplify right side
    11,768.81x = 60,841,786.05
  5. Step 5: Solve for x
    x = 60,841,786.05/11,768.81
  6. Step 6: Final answer
    x = 5,169.75

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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.