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Finding the Fourth Proportional to 8,098.02, 12,147.03 and 2,255.09

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Solution

The fourth proportional to 8,098.02, 12,147.03 and 2,255.09 is: 3,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.02 : 12,147.03 = 2,255.09 : x
  2. Step 2: Convert to fraction form
    8,098.02/12,147.03 = 2,255.09/x
  3. Step 3: Cross multiply
    8,098.02x = 12,147.03 × 2,255.09
  4. Step 4: Simplify right side
    8,098.02x = 27,392,585.15
  5. Step 5: Solve for x
    x = 27,392,585.15/8,098.02
  6. Step 6: Final answer
    x = 3,382.63

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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.