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Finding the Fourth Proportional to 6,813.27, 10,219.95 and 1,882.80

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Solution

The fourth proportional to 6,813.27, 10,219.95 and 1,882.80 is: 2,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.27 : 10,219.95 = 1,882.80 : x
  2. Step 2: Convert to fraction form
    6,813.27/10,219.95 = 1,882.80/x
  3. Step 3: Cross multiply
    6,813.27x = 10,219.95 × 1,882.80
  4. Step 4: Simplify right side
    6,813.27x = 19,242,121.86
  5. Step 5: Solve for x
    x = 19,242,121.86/6,813.27
  6. Step 6: Final answer
    x = 2,824.21

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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.