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Finding the Fourth Proportional to 8,268.84, 11,408.13 and 5,286.42

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Solution

The fourth proportional to 8,268.84, 11,408.13 and 5,286.42 is: 7,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.84 : 11,408.13 = 5,286.42 : x
  2. Step 2: Convert to fraction form
    8,268.84/11,408.13 = 5,286.42/x
  3. Step 3: Cross multiply
    8,268.84x = 11,408.13 × 5,286.42
  4. Step 4: Simplify right side
    8,268.84x = 60,308,166.59
  5. Step 5: Solve for x
    x = 60,308,166.59/8,268.84
  6. Step 6: Final answer
    x = 7,293.43

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