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Finding the Fourth Proportional to 8,136.90, 12,198.06 and 3,208.86

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Solution

The fourth proportional to 8,136.90, 12,198.06 and 3,208.86 is: 4,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.90 : 12,198.06 = 3,208.86 : x
  2. Step 2: Convert to fraction form
    8,136.90/12,198.06 = 3,208.86/x
  3. Step 3: Cross multiply
    8,136.90x = 12,198.06 × 3,208.86
  4. Step 4: Simplify right side
    8,136.90x = 39,141,866.81
  5. Step 5: Solve for x
    x = 39,141,866.81/8,136.90
  6. Step 6: Final answer
    x = 4,810.42

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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.