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Finding the Fourth Proportional to 6,813.72, 10,219.37 and 1,882.22

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Solution

The fourth proportional to 6,813.72, 10,219.37 and 1,882.22 is: 2,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.72 : 10,219.37 = 1,882.22 : x
  2. Step 2: Convert to fraction form
    6,813.72/10,219.37 = 1,882.22/x
  3. Step 3: Cross multiply
    6,813.72x = 10,219.37 × 1,882.22
  4. Step 4: Simplify right side
    6,813.72x = 19,235,042.09
  5. Step 5: Solve for x
    x = 19,235,042.09/6,813.72
  6. Step 6: Final answer
    x = 2,822.99

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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.