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Finding the Fourth Proportional to 11,194.90, 16,781.10 and 4,170.40

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Solution

The fourth proportional to 11,194.90, 16,781.10 and 4,170.40 is: 6,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.90 : 16,781.10 = 4,170.40 : x
  2. Step 2: Convert to fraction form
    11,194.90/16,781.10 = 4,170.40/x
  3. Step 3: Cross multiply
    11,194.90x = 16,781.10 × 4,170.40
  4. Step 4: Simplify right side
    11,194.90x = 69,983,899.44
  5. Step 5: Solve for x
    x = 69,983,899.44/11,194.90
  6. Step 6: Final answer
    x = 6,251.41

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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.