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Finding the Fourth Proportional to 11,770.49, 17,651.98 and 3,871.19

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Solution

The fourth proportional to 11,770.49, 17,651.98 and 3,871.19 is: 5,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.49 : 17,651.98 = 3,871.19 : x
  2. Step 2: Convert to fraction form
    11,770.49/17,651.98 = 3,871.19/x
  3. Step 3: Cross multiply
    11,770.49x = 17,651.98 × 3,871.19
  4. Step 4: Simplify right side
    11,770.49x = 68,334,195.65
  5. Step 5: Solve for x
    x = 68,334,195.65/11,770.49
  6. Step 6: Final answer
    x = 5,805.55

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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.