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Finding the Fourth Proportional to 6,822.41, 10,232.84 and 1,891.42

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Solution

The fourth proportional to 6,822.41, 10,232.84 and 1,891.42 is: 2,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.41 : 10,232.84 = 1,891.42 : x
  2. Step 2: Convert to fraction form
    6,822.41/10,232.84 = 1,891.42/x
  3. Step 3: Cross multiply
    6,822.41x = 10,232.84 × 1,891.42
  4. Step 4: Simplify right side
    6,822.41x = 19,354,577.38
  5. Step 5: Solve for x
    x = 19,354,577.38/6,822.41
  6. Step 6: Final answer
    x = 2,836.91

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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.