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Finding the Fourth Proportional to 7,136.36, 10,706.16 and 2,205.84

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Solution

The fourth proportional to 7,136.36, 10,706.16 and 2,205.84 is: 3,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.36 : 10,706.16 = 2,205.84 : x
  2. Step 2: Convert to fraction form
    7,136.36/10,706.16 = 2,205.84/x
  3. Step 3: Cross multiply
    7,136.36x = 10,706.16 × 2,205.84
  4. Step 4: Simplify right side
    7,136.36x = 23,616,075.97
  5. Step 5: Solve for x
    x = 23,616,075.97/7,136.36
  6. Step 6: Final answer
    x = 3,309.26

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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.