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Finding the Fourth Proportional to 6,720.77, 10,067.43 and 3,200.12

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Solution

The fourth proportional to 6,720.77, 10,067.43 and 3,200.12 is: 4,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.77 : 10,067.43 = 3,200.12 : x
  2. Step 2: Convert to fraction form
    6,720.77/10,067.43 = 3,200.12/x
  3. Step 3: Cross multiply
    6,720.77x = 10,067.43 × 3,200.12
  4. Step 4: Simplify right side
    6,720.77x = 32,216,933.75
  5. Step 5: Solve for x
    x = 32,216,933.75/6,720.77
  6. Step 6: Final answer
    x = 4,793.64

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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.