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Finding the Fourth Proportional to 8,198.52, 12,287.48 and 3,513

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Solution

The fourth proportional to 8,198.52, 12,287.48 and 3,513 is: 5,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.52 : 12,287.48 = 3,513 : x
  2. Step 2: Convert to fraction form
    8,198.52/12,287.48 = 3,513/x
  3. Step 3: Cross multiply
    8,198.52x = 12,287.48 × 3,513
  4. Step 4: Simplify right side
    8,198.52x = 43,165,899.68
  5. Step 5: Solve for x
    x = 43,165,899.68/8,198.52
  6. Step 6: Final answer
    x = 5,265.08

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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.