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Finding the Fourth Proportional to 8,135.34, 12,204.39 and 3,205.70

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Solution

The fourth proportional to 8,135.34, 12,204.39 and 3,205.70 is: 4,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.34 : 12,204.39 = 3,205.70 : x
  2. Step 2: Convert to fraction form
    8,135.34/12,204.39 = 3,205.70/x
  3. Step 3: Cross multiply
    8,135.34x = 12,204.39 × 3,205.70
  4. Step 4: Simplify right side
    8,135.34x = 39,123,613.02
  5. Step 5: Solve for x
    x = 39,123,613.02/8,135.34
  6. Step 6: Final answer
    x = 4,809.09

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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.