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Finding the Fourth Proportional to 7,694.15, 11,541.02 and 2,147.33

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Solution

The fourth proportional to 7,694.15, 11,541.02 and 2,147.33 is: 3,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.15 : 11,541.02 = 2,147.33 : x
  2. Step 2: Convert to fraction form
    7,694.15/11,541.02 = 2,147.33/x
  3. Step 3: Cross multiply
    7,694.15x = 11,541.02 × 2,147.33
  4. Step 4: Simplify right side
    7,694.15x = 24,782,310.03
  5. Step 5: Solve for x
    x = 24,782,310.03/7,694.15
  6. Step 6: Final answer
    x = 3,220.93

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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.