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Finding the Fourth Proportional to 8,136.94, 12,202.71 and 3,205.30

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Solution

The fourth proportional to 8,136.94, 12,202.71 and 3,205.30 is: 4,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.94 : 12,202.71 = 3,205.30 : x
  2. Step 2: Convert to fraction form
    8,136.94/12,202.71 = 3,205.30/x
  3. Step 3: Cross multiply
    8,136.94x = 12,202.71 × 3,205.30
  4. Step 4: Simplify right side
    8,136.94x = 39,113,346.36
  5. Step 5: Solve for x
    x = 39,113,346.36/8,136.94
  6. Step 6: Final answer
    x = 4,806.89

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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.