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Finding the Fourth Proportional to 11,164.29, 16,734.78 and 3,766.20

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Solution

The fourth proportional to 11,164.29, 16,734.78 and 3,766.20 is: 5,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.29 : 16,734.78 = 3,766.20 : x
  2. Step 2: Convert to fraction form
    11,164.29/16,734.78 = 3,766.20/x
  3. Step 3: Cross multiply
    11,164.29x = 16,734.78 × 3,766.20
  4. Step 4: Simplify right side
    11,164.29x = 63,026,528.44
  5. Step 5: Solve for x
    x = 63,026,528.44/11,164.29
  6. Step 6: Final answer
    x = 5,645.37

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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.