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Finding the Fourth Proportional to 7,067.85, 9,752.37 and 4,082.60

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Solution

The fourth proportional to 7,067.85, 9,752.37 and 4,082.60 is: 5,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.85 : 9,752.37 = 4,082.60 : x
  2. Step 2: Convert to fraction form
    7,067.85/9,752.37 = 4,082.60/x
  3. Step 3: Cross multiply
    7,067.85x = 9,752.37 × 4,082.60
  4. Step 4: Simplify right side
    7,067.85x = 39,814,977.00
  5. Step 5: Solve for x
    x = 39,814,977.00/7,067.85
  6. Step 6: Final answer
    x = 5,633.25

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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.