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Finding the Fourth Proportional to 12,761.34, 19,142.04 and 3,997.02

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Solution

The fourth proportional to 12,761.34, 19,142.04 and 3,997.02 is: 5,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.34 : 19,142.04 = 3,997.02 : x
  2. Step 2: Convert to fraction form
    12,761.34/19,142.04 = 3,997.02/x
  3. Step 3: Cross multiply
    12,761.34x = 19,142.04 × 3,997.02
  4. Step 4: Simplify right side
    12,761.34x = 76,511,116.72
  5. Step 5: Solve for x
    x = 76,511,116.72/12,761.34
  6. Step 6: Final answer
    x = 5,995.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.