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Finding the Fourth Proportional to 8,201.46, 12,302.38 and 2,936.83

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Solution

The fourth proportional to 8,201.46, 12,302.38 and 2,936.83 is: 4,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.46 : 12,302.38 = 2,936.83 : x
  2. Step 2: Convert to fraction form
    8,201.46/12,302.38 = 2,936.83/x
  3. Step 3: Cross multiply
    8,201.46x = 12,302.38 × 2,936.83
  4. Step 4: Simplify right side
    8,201.46x = 36,129,960.56
  5. Step 5: Solve for x
    x = 36,129,960.56/8,201.46
  6. Step 6: Final answer
    x = 4,405.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.