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Finding the Fourth Proportional to 8,204.52, 12,306.24 and 2,048.52

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Solution

The fourth proportional to 8,204.52, 12,306.24 and 2,048.52 is: 3,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.52 : 12,306.24 = 2,048.52 : x
  2. Step 2: Convert to fraction form
    8,204.52/12,306.24 = 2,048.52/x
  3. Step 3: Cross multiply
    8,204.52x = 12,306.24 × 2,048.52
  4. Step 4: Simplify right side
    8,204.52x = 25,209,578.76
  5. Step 5: Solve for x
    x = 25,209,578.76/8,204.52
  6. Step 6: Final answer
    x = 3,072.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.