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Finding the Fourth Proportional to 12,761.97, 17,610.11 and 7,657.22

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Solution

The fourth proportional to 12,761.97, 17,610.11 and 7,657.22 is: 10,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.97 : 17,610.11 = 7,657.22 : x
  2. Step 2: Convert to fraction form
    12,761.97/17,610.11 = 7,657.22/x
  3. Step 3: Cross multiply
    12,761.97x = 17,610.11 × 7,657.22
  4. Step 4: Simplify right side
    12,761.97x = 134,844,486.49
  5. Step 5: Solve for x
    x = 134,844,486.49/12,761.97
  6. Step 6: Final answer
    x = 10,566.12

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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.