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Finding the Fourth Proportional to 7,136.97, 10,704.78 and 2,206.77

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Solution

The fourth proportional to 7,136.97, 10,704.78 and 2,206.77 is: 3,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.97 : 10,704.78 = 2,206.77 : x
  2. Step 2: Convert to fraction form
    7,136.97/10,704.78 = 2,206.77/x
  3. Step 3: Cross multiply
    7,136.97x = 10,704.78 × 2,206.77
  4. Step 4: Simplify right side
    7,136.97x = 23,622,987.36
  5. Step 5: Solve for x
    x = 23,622,987.36/7,136.97
  6. Step 6: Final answer
    x = 3,309.95

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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.