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Finding the Fourth Proportional to 8,201.46, 12,311.30 and 4,251.66

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Solution

The fourth proportional to 8,201.46, 12,311.30 and 4,251.66 is: 6,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.46 : 12,311.30 = 4,251.66 : x
  2. Step 2: Convert to fraction form
    8,201.46/12,311.30 = 4,251.66/x
  3. Step 3: Cross multiply
    8,201.46x = 12,311.30 × 4,251.66
  4. Step 4: Simplify right side
    8,201.46x = 52,343,440.50
  5. Step 5: Solve for x
    x = 52,343,440.50/8,201.46
  6. Step 6: Final answer
    x = 6,382.21

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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.