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Finding the Fourth Proportional to 12,761.68, 17,611.49 and 7,726.82

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Solution

The fourth proportional to 12,761.68, 17,611.49 and 7,726.82 is: 10,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.68 : 17,611.49 = 7,726.82 : x
  2. Step 2: Convert to fraction form
    12,761.68/17,611.49 = 7,726.82/x
  3. Step 3: Cross multiply
    12,761.68x = 17,611.49 × 7,726.82
  4. Step 4: Simplify right side
    12,761.68x = 136,080,725.10
  5. Step 5: Solve for x
    x = 136,080,725.10/12,761.68
  6. Step 6: Final answer
    x = 10,663.23

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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.