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Finding the Fourth Proportional to 8,274.87, 12,414.62 and 3,347.97

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Solution

The fourth proportional to 8,274.87, 12,414.62 and 3,347.97 is: 5,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.87 : 12,414.62 = 3,347.97 : x
  2. Step 2: Convert to fraction form
    8,274.87/12,414.62 = 3,347.97/x
  3. Step 3: Cross multiply
    8,274.87x = 12,414.62 × 3,347.97
  4. Step 4: Simplify right side
    8,274.87x = 41,563,758.58
  5. Step 5: Solve for x
    x = 41,563,758.58/8,274.87
  6. Step 6: Final answer
    x = 5,022.89

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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.