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Finding the Fourth Proportional to 8,136.34, 12,204.87 and 2,940.82

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Solution

The fourth proportional to 8,136.34, 12,204.87 and 2,940.82 is: 4,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.34 : 12,204.87 = 2,940.82 : x
  2. Step 2: Convert to fraction form
    8,136.34/12,204.87 = 2,940.82/x
  3. Step 3: Cross multiply
    8,136.34x = 12,204.87 × 2,940.82
  4. Step 4: Simplify right side
    8,136.34x = 35,892,325.79
  5. Step 5: Solve for x
    x = 35,892,325.79/8,136.34
  6. Step 6: Final answer
    x = 4,411.36

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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.