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Finding the Fourth Proportional to 8,204.25, 12,306.38 and 2,048.25

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Solution

The fourth proportional to 8,204.25, 12,306.38 and 2,048.25 is: 3,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.25 : 12,306.38 = 2,048.25 : x
  2. Step 2: Convert to fraction form
    8,204.25/12,306.38 = 2,048.25/x
  3. Step 3: Cross multiply
    8,204.25x = 12,306.38 × 2,048.25
  4. Step 4: Simplify right side
    8,204.25x = 25,206,532.59
  5. Step 5: Solve for x
    x = 25,206,532.59/8,204.25
  6. Step 6: Final answer
    x = 3,072.38

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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.