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Finding the Fourth Proportional to 7,694.29, 11,537.33 and 3,992.79

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Solution

The fourth proportional to 7,694.29, 11,537.33 and 3,992.79 is: 5,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.29 : 11,537.33 = 3,992.79 : x
  2. Step 2: Convert to fraction form
    7,694.29/11,537.33 = 3,992.79/x
  3. Step 3: Cross multiply
    7,694.29x = 11,537.33 × 3,992.79
  4. Step 4: Simplify right side
    7,694.29x = 46,066,135.85
  5. Step 5: Solve for x
    x = 46,066,135.85/7,694.29
  6. Step 6: Final answer
    x = 5,987.05

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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.