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Finding the Fourth Proportional to 6,911.32, 10,369 and 2,231.22

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Solution

The fourth proportional to 6,911.32, 10,369 and 2,231.22 is: 3,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.32 : 10,369 = 2,231.22 : x
  2. Step 2: Convert to fraction form
    6,911.32/10,369 = 2,231.22/x
  3. Step 3: Cross multiply
    6,911.32x = 10,369 × 2,231.22
  4. Step 4: Simplify right side
    6,911.32x = 23,135,520.18
  5. Step 5: Solve for x
    x = 23,135,520.18/6,911.32
  6. Step 6: Final answer
    x = 3,347.48

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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.