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Finding the Fourth Proportional to 11,552.80, 17,290.80 and 8,096.80

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Solution

The fourth proportional to 11,552.80, 17,290.80 and 8,096.80 is: 12,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.80 : 17,290.80 = 8,096.80 : x
  2. Step 2: Convert to fraction form
    11,552.80/17,290.80 = 8,096.80/x
  3. Step 3: Cross multiply
    11,552.80x = 17,290.80 × 8,096.80
  4. Step 4: Simplify right side
    11,552.80x = 140,000,149.44
  5. Step 5: Solve for x
    x = 140,000,149.44/11,552.80
  6. Step 6: Final answer
    x = 12,118.29

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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.