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Finding the Fourth Proportional to 7,136.85, 10,706.81 and 3,627.33

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Solution

The fourth proportional to 7,136.85, 10,706.81 and 3,627.33 is: 5,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.85 : 10,706.81 = 3,627.33 : x
  2. Step 2: Convert to fraction form
    7,136.85/10,706.81 = 3,627.33/x
  3. Step 3: Cross multiply
    7,136.85x = 10,706.81 × 3,627.33
  4. Step 4: Simplify right side
    7,136.85x = 38,837,114.98
  5. Step 5: Solve for x
    x = 38,837,114.98/7,136.85
  6. Step 6: Final answer
    x = 5,441.77

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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.