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Finding the Fourth Proportional to 7,627.80, 11,442.33 and 2,081.19

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Solution

The fourth proportional to 7,627.80, 11,442.33 and 2,081.19 is: 3,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.80 : 11,442.33 = 2,081.19 : x
  2. Step 2: Convert to fraction form
    7,627.80/11,442.33 = 2,081.19/x
  3. Step 3: Cross multiply
    7,627.80x = 11,442.33 × 2,081.19
  4. Step 4: Simplify right side
    7,627.80x = 23,813,705.68
  5. Step 5: Solve for x
    x = 23,813,705.68/7,627.80
  6. Step 6: Final answer
    x = 3,121.96

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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.