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Finding the Fourth Proportional to 6,882, 10,323 and 2,265.36

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Solution

The fourth proportional to 6,882, 10,323 and 2,265.36 is: 3,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882 : 10,323 = 2,265.36 : x
  2. Step 2: Convert to fraction form
    6,882/10,323 = 2,265.36/x
  3. Step 3: Cross multiply
    6,882x = 10,323 × 2,265.36
  4. Step 4: Simplify right side
    6,882x = 23,385,311.28
  5. Step 5: Solve for x
    x = 23,385,311.28/6,882
  6. Step 6: Final answer
    x = 3,398.04

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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.