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Finding the Fourth Proportional to 8,305.94, 12,463.82 and 3,375.20

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Solution

The fourth proportional to 8,305.94, 12,463.82 and 3,375.20 is: 5,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.94 : 12,463.82 = 3,375.20 : x
  2. Step 2: Convert to fraction form
    8,305.94/12,463.82 = 3,375.20/x
  3. Step 3: Cross multiply
    8,305.94x = 12,463.82 × 3,375.20
  4. Step 4: Simplify right side
    8,305.94x = 42,067,885.26
  5. Step 5: Solve for x
    x = 42,067,885.26/8,305.94
  6. Step 6: Final answer
    x = 5,064.80

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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.