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Finding the Fourth Proportional to 8,181.44, 12,268.06 and 3,801.97

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Solution

The fourth proportional to 8,181.44, 12,268.06 and 3,801.97 is: 5,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.44 : 12,268.06 = 3,801.97 : x
  2. Step 2: Convert to fraction form
    8,181.44/12,268.06 = 3,801.97/x
  3. Step 3: Cross multiply
    8,181.44x = 12,268.06 × 3,801.97
  4. Step 4: Simplify right side
    8,181.44x = 46,642,801.91
  5. Step 5: Solve for x
    x = 46,642,801.91/8,181.44
  6. Step 6: Final answer
    x = 5,701.05

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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.