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Finding the Fourth Proportional to 11,081.42, 16,622 and 2,761.52

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Solution

The fourth proportional to 11,081.42, 16,622 and 2,761.52 is: 4,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.42 : 16,622 = 2,761.52 : x
  2. Step 2: Convert to fraction form
    11,081.42/16,622 = 2,761.52/x
  3. Step 3: Cross multiply
    11,081.42x = 16,622 × 2,761.52
  4. Step 4: Simplify right side
    11,081.42x = 45,901,985.44
  5. Step 5: Solve for x
    x = 45,901,985.44/11,081.42
  6. Step 6: Final answer
    x = 4,142.25

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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.