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Finding the Fourth Proportional to 8,095.43, 12,136.59 and 3,412.41

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Solution

The fourth proportional to 8,095.43, 12,136.59 and 3,412.41 is: 5,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.43 : 12,136.59 = 3,412.41 : x
  2. Step 2: Convert to fraction form
    8,095.43/12,136.59 = 3,412.41/x
  3. Step 3: Cross multiply
    8,095.43x = 12,136.59 × 3,412.41
  4. Step 4: Simplify right side
    8,095.43x = 41,415,021.08
  5. Step 5: Solve for x
    x = 41,415,021.08/8,095.43
  6. Step 6: Final answer
    x = 5,115.86

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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.