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Finding the Fourth Proportional to 8,203.80, 12,305.70 and 3,011.70

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Solution

The fourth proportional to 8,203.80, 12,305.70 and 3,011.70 is: 4,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.80 : 12,305.70 = 3,011.70 : x
  2. Step 2: Convert to fraction form
    8,203.80/12,305.70 = 3,011.70/x
  3. Step 3: Cross multiply
    8,203.80x = 12,305.70 × 3,011.70
  4. Step 4: Simplify right side
    8,203.80x = 37,061,076.69
  5. Step 5: Solve for x
    x = 37,061,076.69/8,203.80
  6. Step 6: Final answer
    x = 4,517.55

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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.