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Finding the Fourth Proportional to 7,414.82, 11,114.49 and 2,480.40

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Solution

The fourth proportional to 7,414.82, 11,114.49 and 2,480.40 is: 3,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.82 : 11,114.49 = 2,480.40 : x
  2. Step 2: Convert to fraction form
    7,414.82/11,114.49 = 2,480.40/x
  3. Step 3: Cross multiply
    7,414.82x = 11,114.49 × 2,480.40
  4. Step 4: Simplify right side
    7,414.82x = 27,568,396.38
  5. Step 5: Solve for x
    x = 27,568,396.38/7,414.82
  6. Step 6: Final answer
    x = 3,718.01

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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.