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Finding the Fourth Proportional to 12,761.38, 17,610.96 and 7,096.36

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Solution

The fourth proportional to 12,761.38, 17,610.96 and 7,096.36 is: 9,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.38 : 17,610.96 = 7,096.36 : x
  2. Step 2: Convert to fraction form
    12,761.38/17,610.96 = 7,096.36/x
  3. Step 3: Cross multiply
    12,761.38x = 17,610.96 × 7,096.36
  4. Step 4: Simplify right side
    12,761.38x = 124,973,712.11
  5. Step 5: Solve for x
    x = 124,973,712.11/12,761.38
  6. Step 6: Final answer
    x = 9,793.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.