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Finding the Fourth Proportional to 7,067.57, 9,752.58 and 3,880.71

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Solution

The fourth proportional to 7,067.57, 9,752.58 and 3,880.71 is: 5,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.57 : 9,752.58 = 3,880.71 : x
  2. Step 2: Convert to fraction form
    7,067.57/9,752.58 = 3,880.71/x
  3. Step 3: Cross multiply
    7,067.57x = 9,752.58 × 3,880.71
  4. Step 4: Simplify right side
    7,067.57x = 37,846,934.73
  5. Step 5: Solve for x
    x = 37,846,934.73/7,067.57
  6. Step 6: Final answer
    x = 5,355.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.