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Finding the Fourth Proportional to 6,823.70, 10,219.14 and 3,893.12

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Solution

The fourth proportional to 6,823.70, 10,219.14 and 3,893.12 is: 5,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.70 : 10,219.14 = 3,893.12 : x
  2. Step 2: Convert to fraction form
    6,823.70/10,219.14 = 3,893.12/x
  3. Step 3: Cross multiply
    6,823.70x = 10,219.14 × 3,893.12
  4. Step 4: Simplify right side
    6,823.70x = 39,784,327.37
  5. Step 5: Solve for x
    x = 39,784,327.37/6,823.70
  6. Step 6: Final answer
    x = 5,830.32

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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.