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Finding the Fourth Proportional to 6,793.60, 10,167.72 and 3,871.12

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Solution

The fourth proportional to 6,793.60, 10,167.72 and 3,871.12 is: 5,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.60 : 10,167.72 = 3,871.12 : x
  2. Step 2: Convert to fraction form
    6,793.60/10,167.72 = 3,871.12/x
  3. Step 3: Cross multiply
    6,793.60x = 10,167.72 × 3,871.12
  4. Step 4: Simplify right side
    6,793.60x = 39,360,464.25
  5. Step 5: Solve for x
    x = 39,360,464.25/6,793.60
  6. Step 6: Final answer
    x = 5,793.76

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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.