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Finding the Fourth Proportional to 7,761.09, 11,643.17 and 3,083.31

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Solution

The fourth proportional to 7,761.09, 11,643.17 and 3,083.31 is: 4,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.09 : 11,643.17 = 3,083.31 : x
  2. Step 2: Convert to fraction form
    7,761.09/11,643.17 = 3,083.31/x
  3. Step 3: Cross multiply
    7,761.09x = 11,643.17 × 3,083.31
  4. Step 4: Simplify right side
    7,761.09x = 35,899,451.99
  5. Step 5: Solve for x
    x = 35,899,451.99/7,761.09
  6. Step 6: Final answer
    x = 4,625.57

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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.