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Finding the Fourth Proportional to 8,132.68, 12,205.50 and 3,204.64

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Solution

The fourth proportional to 8,132.68, 12,205.50 and 3,204.64 is: 4,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.68 : 12,205.50 = 3,204.64 : x
  2. Step 2: Convert to fraction form
    8,132.68/12,205.50 = 3,204.64/x
  3. Step 3: Cross multiply
    8,132.68x = 12,205.50 × 3,204.64
  4. Step 4: Simplify right side
    8,132.68x = 39,114,233.52
  5. Step 5: Solve for x
    x = 39,114,233.52/8,132.68
  6. Step 6: Final answer
    x = 4,809.51

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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.