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Finding the Fourth Proportional to 7,608.25, 11,414.20 and 2,414.13

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Solution

The fourth proportional to 7,608.25, 11,414.20 and 2,414.13 is: 3,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.25 : 11,414.20 = 2,414.13 : x
  2. Step 2: Convert to fraction form
    7,608.25/11,414.20 = 2,414.13/x
  3. Step 3: Cross multiply
    7,608.25x = 11,414.20 × 2,414.13
  4. Step 4: Simplify right side
    7,608.25x = 27,555,362.65
  5. Step 5: Solve for x
    x = 27,555,362.65/7,608.25
  6. Step 6: Final answer
    x = 3,621.77

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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.