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Finding the Fourth Proportional to 7,067.40, 9,752.34 and 4,082.83

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Solution

The fourth proportional to 7,067.40, 9,752.34 and 4,082.83 is: 5,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.40 : 9,752.34 = 4,082.83 : x
  2. Step 2: Convert to fraction form
    7,067.40/9,752.34 = 4,082.83/x
  3. Step 3: Cross multiply
    7,067.40x = 9,752.34 × 4,082.83
  4. Step 4: Simplify right side
    7,067.40x = 39,817,137.25
  5. Step 5: Solve for x
    x = 39,817,137.25/7,067.40
  6. Step 6: Final answer
    x = 5,633.92

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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.