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Finding the Fourth Proportional to 8,136.82, 12,215.31 and 8,099.38

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Solution

The fourth proportional to 8,136.82, 12,215.31 and 8,099.38 is: 12,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.82 : 12,215.31 = 8,099.38 : x
  2. Step 2: Convert to fraction form
    8,136.82/12,215.31 = 8,099.38/x
  3. Step 3: Cross multiply
    8,136.82x = 12,215.31 × 8,099.38
  4. Step 4: Simplify right side
    8,136.82x = 98,936,437.51
  5. Step 5: Solve for x
    x = 98,936,437.51/8,136.82
  6. Step 6: Final answer
    x = 12,159.10

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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.