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Finding the Fourth Proportional to 6,812.70, 10,206.45 and 3,882.30

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Solution

The fourth proportional to 6,812.70, 10,206.45 and 3,882.30 is: 5,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.70 : 10,206.45 = 3,882.30 : x
  2. Step 2: Convert to fraction form
    6,812.70/10,206.45 = 3,882.30/x
  3. Step 3: Cross multiply
    6,812.70x = 10,206.45 × 3,882.30
  4. Step 4: Simplify right side
    6,812.70x = 39,624,500.84
  5. Step 5: Solve for x
    x = 39,624,500.84/6,812.70
  6. Step 6: Final answer
    x = 5,816.27

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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.