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Finding the Fourth Proportional to 7,067.66, 9,752.12 and 4,082.41

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Solution

The fourth proportional to 7,067.66, 9,752.12 and 4,082.41 is: 5,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.66 : 9,752.12 = 4,082.41 : x
  2. Step 2: Convert to fraction form
    7,067.66/9,752.12 = 4,082.41/x
  3. Step 3: Cross multiply
    7,067.66x = 9,752.12 × 4,082.41
  4. Step 4: Simplify right side
    7,067.66x = 39,812,107.42
  5. Step 5: Solve for x
    x = 39,812,107.42/7,067.66
  6. Step 6: Final answer
    x = 5,632.99

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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.