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Finding the Fourth Proportional to 7,791.09, 11,690.25 and 3,407.97

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Solution

The fourth proportional to 7,791.09, 11,690.25 and 3,407.97 is: 5,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.09 : 11,690.25 = 3,407.97 : x
  2. Step 2: Convert to fraction form
    7,791.09/11,690.25 = 3,407.97/x
  3. Step 3: Cross multiply
    7,791.09x = 11,690.25 × 3,407.97
  4. Step 4: Simplify right side
    7,791.09x = 39,840,021.29
  5. Step 5: Solve for x
    x = 39,840,021.29/7,791.09
  6. Step 6: Final answer
    x = 5,113.54

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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.