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Finding the Fourth Proportional to 6,913.38, 10,369.80 and 2,233.20

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Solution

The fourth proportional to 6,913.38, 10,369.80 and 2,233.20 is: 3,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.38 : 10,369.80 = 2,233.20 : x
  2. Step 2: Convert to fraction form
    6,913.38/10,369.80 = 2,233.20/x
  3. Step 3: Cross multiply
    6,913.38x = 10,369.80 × 2,233.20
  4. Step 4: Simplify right side
    6,913.38x = 23,157,837.36
  5. Step 5: Solve for x
    x = 23,157,837.36/6,913.38
  6. Step 6: Final answer
    x = 3,349.71

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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.