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Finding the Fourth Proportional to 8,056.56, 12,081 and 3,311.97

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Solution

The fourth proportional to 8,056.56, 12,081 and 3,311.97 is: 4,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.56 : 12,081 = 3,311.97 : x
  2. Step 2: Convert to fraction form
    8,056.56/12,081 = 3,311.97/x
  3. Step 3: Cross multiply
    8,056.56x = 12,081 × 3,311.97
  4. Step 4: Simplify right side
    8,056.56x = 40,011,909.57
  5. Step 5: Solve for x
    x = 40,011,909.57/8,056.56
  6. Step 6: Final answer
    x = 4,966.38

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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.