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Finding the Fourth Proportional to 8,255.25, 12,382.92 and 2,099.25

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Solution

The fourth proportional to 8,255.25, 12,382.92 and 2,099.25 is: 3,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.25 : 12,382.92 = 2,099.25 : x
  2. Step 2: Convert to fraction form
    8,255.25/12,382.92 = 2,099.25/x
  3. Step 3: Cross multiply
    8,255.25x = 12,382.92 × 2,099.25
  4. Step 4: Simplify right side
    8,255.25x = 25,994,844.81
  5. Step 5: Solve for x
    x = 25,994,844.81/8,255.25
  6. Step 6: Final answer
    x = 3,148.89

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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.