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Finding the Fourth Proportional to 8,268.90, 12,404.72 and 3,831

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Solution

The fourth proportional to 8,268.90, 12,404.72 and 3,831 is: 5,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.90 : 12,404.72 = 3,831 : x
  2. Step 2: Convert to fraction form
    8,268.90/12,404.72 = 3,831/x
  3. Step 3: Cross multiply
    8,268.90x = 12,404.72 × 3,831
  4. Step 4: Simplify right side
    8,268.90x = 47,522,463.17
  5. Step 5: Solve for x
    x = 47,522,463.17/8,268.90
  6. Step 6: Final answer
    x = 5,747.13

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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.