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Finding the Fourth Proportional to 6,816.42, 10,223.47 and 2,199.42

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Solution

The fourth proportional to 6,816.42, 10,223.47 and 2,199.42 is: 3,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.42 : 10,223.47 = 2,199.42 : x
  2. Step 2: Convert to fraction form
    6,816.42/10,223.47 = 2,199.42/x
  3. Step 3: Cross multiply
    6,816.42x = 10,223.47 × 2,199.42
  4. Step 4: Simplify right side
    6,816.42x = 22,485,704.39
  5. Step 5: Solve for x
    x = 22,485,704.39/6,816.42
  6. Step 6: Final answer
    x = 3,298.76

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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.