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Finding the Fourth Proportional to 7,067.72, 10,605.67 and 3,782.66

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Solution

The fourth proportional to 7,067.72, 10,605.67 and 3,782.66 is: 5,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.72 : 10,605.67 = 3,782.66 : x
  2. Step 2: Convert to fraction form
    7,067.72/10,605.67 = 3,782.66/x
  3. Step 3: Cross multiply
    7,067.72x = 10,605.67 × 3,782.66
  4. Step 4: Simplify right side
    7,067.72x = 40,117,581.20
  5. Step 5: Solve for x
    x = 40,117,581.20/7,067.72
  6. Step 6: Final answer
    x = 5,676.17

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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.