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Finding the Fourth Proportional to 6,823.67, 10,235.51 and 1,893.31

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Solution

The fourth proportional to 6,823.67, 10,235.51 and 1,893.31 is: 2,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.67 : 10,235.51 = 1,893.31 : x
  2. Step 2: Convert to fraction form
    6,823.67/10,235.51 = 1,893.31/x
  3. Step 3: Cross multiply
    6,823.67x = 10,235.51 × 1,893.31
  4. Step 4: Simplify right side
    6,823.67x = 19,378,993.44
  5. Step 5: Solve for x
    x = 19,378,993.44/6,823.67
  6. Step 6: Final answer
    x = 2,839.97

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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.