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Finding the Fourth Proportional to 6,711.17, 10,067.44 and 3,200.58

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Solution

The fourth proportional to 6,711.17, 10,067.44 and 3,200.58 is: 4,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.17 : 10,067.44 = 3,200.58 : x
  2. Step 2: Convert to fraction form
    6,711.17/10,067.44 = 3,200.58/x
  3. Step 3: Cross multiply
    6,711.17x = 10,067.44 × 3,200.58
  4. Step 4: Simplify right side
    6,711.17x = 32,221,645.11
  5. Step 5: Solve for x
    x = 32,221,645.11/6,711.17
  6. Step 6: Final answer
    x = 4,801.20

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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.