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Finding the Fourth Proportional to 8,198.47, 12,299.29 and 2,653.19

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Solution

The fourth proportional to 8,198.47, 12,299.29 and 2,653.19 is: 3,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.47 : 12,299.29 = 2,653.19 : x
  2. Step 2: Convert to fraction form
    8,198.47/12,299.29 = 2,653.19/x
  3. Step 3: Cross multiply
    8,198.47x = 12,299.29 × 2,653.19
  4. Step 4: Simplify right side
    8,198.47x = 32,632,339.97
  5. Step 5: Solve for x
    x = 32,632,339.97/8,198.47
  6. Step 6: Final answer
    x = 3,980.30

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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.