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Finding the Fourth Proportional to 7,206.70, 10,814.46 and 2,824.20

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Solution

The fourth proportional to 7,206.70, 10,814.46 and 2,824.20 is: 4,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.70 : 10,814.46 = 2,824.20 : x
  2. Step 2: Convert to fraction form
    7,206.70/10,814.46 = 2,824.20/x
  3. Step 3: Cross multiply
    7,206.70x = 10,814.46 × 2,824.20
  4. Step 4: Simplify right side
    7,206.70x = 30,542,197.93
  5. Step 5: Solve for x
    x = 30,542,197.93/7,206.70
  6. Step 6: Final answer
    x = 4,238.03

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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.