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Finding the Fourth Proportional to 8,270.61, 12,406.70 and 2,723.97

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Solution

The fourth proportional to 8,270.61, 12,406.70 and 2,723.97 is: 4,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.61 : 12,406.70 = 2,723.97 : x
  2. Step 2: Convert to fraction form
    8,270.61/12,406.70 = 2,723.97/x
  3. Step 3: Cross multiply
    8,270.61x = 12,406.70 × 2,723.97
  4. Step 4: Simplify right side
    8,270.61x = 33,795,478.60
  5. Step 5: Solve for x
    x = 33,795,478.60/8,270.61
  6. Step 6: Final answer
    x = 4,086.21

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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.