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Finding the Fourth Proportional to 8,136.51, 12,194.50 and 6,486.27

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Solution

The fourth proportional to 8,136.51, 12,194.50 and 6,486.27 is: 9,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.51 : 12,194.50 = 6,486.27 : x
  2. Step 2: Convert to fraction form
    8,136.51/12,194.50 = 6,486.27/x
  3. Step 3: Cross multiply
    8,136.51x = 12,194.50 × 6,486.27
  4. Step 4: Simplify right side
    8,136.51x = 79,096,819.52
  5. Step 5: Solve for x
    x = 79,096,819.52/8,136.51
  6. Step 6: Final answer
    x = 9,721.22

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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.