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Finding the Fourth Proportional to 7,136.90, 10,706.37 and 2,206.91

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Solution

The fourth proportional to 7,136.90, 10,706.37 and 2,206.91 is: 3,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.90 : 10,706.37 = 2,206.91 : x
  2. Step 2: Convert to fraction form
    7,136.90/10,706.37 = 2,206.91/x
  3. Step 3: Cross multiply
    7,136.90x = 10,706.37 × 2,206.91
  4. Step 4: Simplify right side
    7,136.90x = 23,628,013.51
  5. Step 5: Solve for x
    x = 23,628,013.51/7,136.90
  6. Step 6: Final answer
    x = 3,310.68

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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.