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Finding the Fourth Proportional to 7,081.50, 10,617.60 and 3,961.82

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Solution

The fourth proportional to 7,081.50, 10,617.60 and 3,961.82 is: 5,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.50 : 10,617.60 = 3,961.82 : x
  2. Step 2: Convert to fraction form
    7,081.50/10,617.60 = 3,961.82/x
  3. Step 3: Cross multiply
    7,081.50x = 10,617.60 × 3,961.82
  4. Step 4: Simplify right side
    7,081.50x = 42,065,020.03
  5. Step 5: Solve for x
    x = 42,065,020.03/7,081.50
  6. Step 6: Final answer
    x = 5,940.13

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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.