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Finding the Fourth Proportional to 12,757.25, 17,605.29 and 7,091.78

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Solution

The fourth proportional to 12,757.25, 17,605.29 and 7,091.78 is: 9,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.25 : 17,605.29 = 7,091.78 : x
  2. Step 2: Convert to fraction form
    12,757.25/17,605.29 = 7,091.78/x
  3. Step 3: Cross multiply
    12,757.25x = 17,605.29 × 7,091.78
  4. Step 4: Simplify right side
    12,757.25x = 124,852,755.49
  5. Step 5: Solve for x
    x = 124,852,755.49/12,757.25
  6. Step 6: Final answer
    x = 9,786.81

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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.