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Finding the Fourth Proportional to 12,761.53, 19,142.29 and 3,997.13

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Solution

The fourth proportional to 12,761.53, 19,142.29 and 3,997.13 is: 5,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.53 : 19,142.29 = 3,997.13 : x
  2. Step 2: Convert to fraction form
    12,761.53/19,142.29 = 3,997.13/x
  3. Step 3: Cross multiply
    12,761.53x = 19,142.29 × 3,997.13
  4. Step 4: Simplify right side
    12,761.53x = 76,514,130.91
  5. Step 5: Solve for x
    x = 76,514,130.91/12,761.53
  6. Step 6: Final answer
    x = 5,995.69

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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.