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Finding the Fourth Proportional to 7,136.27, 10,704.09 and 1,871.17

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Solution

The fourth proportional to 7,136.27, 10,704.09 and 1,871.17 is: 2,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.27 : 10,704.09 = 1,871.17 : x
  2. Step 2: Convert to fraction form
    7,136.27/10,704.09 = 1,871.17/x
  3. Step 3: Cross multiply
    7,136.27x = 10,704.09 × 1,871.17
  4. Step 4: Simplify right side
    7,136.27x = 20,029,172.09
  5. Step 5: Solve for x
    x = 20,029,172.09/7,136.27
  6. Step 6: Final answer
    x = 2,806.67

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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.