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Finding the Fourth Proportional to 8,273.46, 12,418.41 and 3,894

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Solution

The fourth proportional to 8,273.46, 12,418.41 and 3,894 is: 5,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.46 : 12,418.41 = 3,894 : x
  2. Step 2: Convert to fraction form
    8,273.46/12,418.41 = 3,894/x
  3. Step 3: Cross multiply
    8,273.46x = 12,418.41 × 3,894
  4. Step 4: Simplify right side
    8,273.46x = 48,357,288.54
  5. Step 5: Solve for x
    x = 48,357,288.54/8,273.46
  6. Step 6: Final answer
    x = 5,844.87

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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.