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Finding the Fourth Proportional to 6,823.87, 10,219.40 and 3,893.29

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Solution

The fourth proportional to 6,823.87, 10,219.40 and 3,893.29 is: 5,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.87 : 10,219.40 = 3,893.29 : x
  2. Step 2: Convert to fraction form
    6,823.87/10,219.40 = 3,893.29/x
  3. Step 3: Cross multiply
    6,823.87x = 10,219.40 × 3,893.29
  4. Step 4: Simplify right side
    6,823.87x = 39,787,087.83
  5. Step 5: Solve for x
    x = 39,787,087.83/6,823.87
  6. Step 6: Final answer
    x = 5,830.58

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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.