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Finding the Fourth Proportional to 8,268.81, 11,414.24 and 5,752.38

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Solution

The fourth proportional to 8,268.81, 11,414.24 and 5,752.38 is: 7,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.81 : 11,414.24 = 5,752.38 : x
  2. Step 2: Convert to fraction form
    8,268.81/11,414.24 = 5,752.38/x
  3. Step 3: Cross multiply
    8,268.81x = 11,414.24 × 5,752.38
  4. Step 4: Simplify right side
    8,268.81x = 65,659,017.13
  5. Step 5: Solve for x
    x = 65,659,017.13/8,268.81
  6. Step 6: Final answer
    x = 7,940.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.