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Finding the Fourth Proportional to 8,470.41, 12,708.26 and 3,794.41

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Solution

The fourth proportional to 8,470.41, 12,708.26 and 3,794.41 is: 5,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.41 : 12,708.26 = 3,794.41 : x
  2. Step 2: Convert to fraction form
    8,470.41/12,708.26 = 3,794.41/x
  3. Step 3: Cross multiply
    8,470.41x = 12,708.26 × 3,794.41
  4. Step 4: Simplify right side
    8,470.41x = 48,220,359.97
  5. Step 5: Solve for x
    x = 48,220,359.97/8,470.41
  6. Step 6: Final answer
    x = 5,692.80

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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.