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Finding the Fourth Proportional to 6,823.92, 10,235.87 and 2,144.30

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Solution

The fourth proportional to 6,823.92, 10,235.87 and 2,144.30 is: 3,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.92 : 10,235.87 = 2,144.30 : x
  2. Step 2: Convert to fraction form
    6,823.92/10,235.87 = 2,144.30/x
  3. Step 3: Cross multiply
    6,823.92x = 10,235.87 × 2,144.30
  4. Step 4: Simplify right side
    6,823.92x = 21,948,776.04
  5. Step 5: Solve for x
    x = 21,948,776.04/6,823.92
  6. Step 6: Final answer
    x = 3,216.45

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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.