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Finding the Fourth Proportional to 12,761.80, 17,610.80 and 7,096.82

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Solution

The fourth proportional to 12,761.80, 17,610.80 and 7,096.82 is: 9,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.80 : 17,610.80 = 7,096.82 : x
  2. Step 2: Convert to fraction form
    12,761.80/17,610.80 = 7,096.82/x
  3. Step 3: Cross multiply
    12,761.80x = 17,610.80 × 7,096.82
  4. Step 4: Simplify right side
    12,761.80x = 124,980,677.66
  5. Step 5: Solve for x
    x = 124,980,677.66/12,761.80
  6. Step 6: Final answer
    x = 9,793.34

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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.