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Finding the Fourth Proportional to 11,540.14, 17,310.88 and 3,642.90

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Solution

The fourth proportional to 11,540.14, 17,310.88 and 3,642.90 is: 5,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.14 : 17,310.88 = 3,642.90 : x
  2. Step 2: Convert to fraction form
    11,540.14/17,310.88 = 3,642.90/x
  3. Step 3: Cross multiply
    11,540.14x = 17,310.88 × 3,642.90
  4. Step 4: Simplify right side
    11,540.14x = 63,061,744.39
  5. Step 5: Solve for x
    x = 63,061,744.39/11,540.14
  6. Step 6: Final answer
    x = 5,464.56

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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.