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Finding the Fourth Proportional to 8,136.96, 12,197.76 and 2,941.44

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Solution

The fourth proportional to 8,136.96, 12,197.76 and 2,941.44 is: 4,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.96 : 12,197.76 = 2,941.44 : x
  2. Step 2: Convert to fraction form
    8,136.96/12,197.76 = 2,941.44/x
  3. Step 3: Cross multiply
    8,136.96x = 12,197.76 × 2,941.44
  4. Step 4: Simplify right side
    8,136.96x = 35,878,979.17
  5. Step 5: Solve for x
    x = 35,878,979.17/8,136.96
  6. Step 6: Final answer
    x = 4,409.38

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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.