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Finding the Fourth Proportional to 7,136.66, 10,706.01 and 2,206.73

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Solution

The fourth proportional to 7,136.66, 10,706.01 and 2,206.73 is: 3,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.66 : 10,706.01 = 2,206.73 : x
  2. Step 2: Convert to fraction form
    7,136.66/10,706.01 = 2,206.73/x
  3. Step 3: Cross multiply
    7,136.66x = 10,706.01 × 2,206.73
  4. Step 4: Simplify right side
    7,136.66x = 23,625,219.92
  5. Step 5: Solve for x
    x = 23,625,219.92/7,136.66
  6. Step 6: Final answer
    x = 3,310.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.