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Finding the Fourth Proportional to 8,132.36, 12,198.84 and 2,585.88

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Solution

The fourth proportional to 8,132.36, 12,198.84 and 2,585.88 is: 3,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.36 : 12,198.84 = 2,585.88 : x
  2. Step 2: Convert to fraction form
    8,132.36/12,198.84 = 2,585.88/x
  3. Step 3: Cross multiply
    8,132.36x = 12,198.84 × 2,585.88
  4. Step 4: Simplify right side
    8,132.36x = 31,544,736.38
  5. Step 5: Solve for x
    x = 31,544,736.38/8,132.36
  6. Step 6: Final answer
    x = 3,878.92

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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.