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Finding the Fourth Proportional to 6,882.08, 10,324.28 and 2,264

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Solution

The fourth proportional to 6,882.08, 10,324.28 and 2,264 is: 3,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.08 : 10,324.28 = 2,264 : x
  2. Step 2: Convert to fraction form
    6,882.08/10,324.28 = 2,264/x
  3. Step 3: Cross multiply
    6,882.08x = 10,324.28 × 2,264
  4. Step 4: Simplify right side
    6,882.08x = 23,374,169.92
  5. Step 5: Solve for x
    x = 23,374,169.92/6,882.08
  6. Step 6: Final answer
    x = 3,396.38

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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.