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Finding the Fourth Proportional to 8,232, 12,348 and 3,305.04

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Solution

The fourth proportional to 8,232, 12,348 and 3,305.04 is: 4,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,348 = 3,305.04 : x
  2. Step 2: Convert to fraction form
    8,232/12,348 = 3,305.04/x
  3. Step 3: Cross multiply
    8,232x = 12,348 × 3,305.04
  4. Step 4: Simplify right side
    8,232x = 40,810,633.92
  5. Step 5: Solve for x
    x = 40,810,633.92/8,232
  6. Step 6: Final answer
    x = 4,957.56

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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.