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Finding the Fourth Proportional to 8,136.02, 12,196.74 and 2,940.68

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Solution

The fourth proportional to 8,136.02, 12,196.74 and 2,940.68 is: 4,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.02 : 12,196.74 = 2,940.68 : x
  2. Step 2: Convert to fraction form
    8,136.02/12,196.74 = 2,940.68/x
  3. Step 3: Cross multiply
    8,136.02x = 12,196.74 × 2,940.68
  4. Step 4: Simplify right side
    8,136.02x = 35,866,709.38
  5. Step 5: Solve for x
    x = 35,866,709.38/8,136.02
  6. Step 6: Final answer
    x = 4,408.39

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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.