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Finding the Fourth Proportional to 27,997.88, 41,997.24 and 6,938

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Solution

The fourth proportional to 27,997.88, 41,997.24 and 6,938 is: 10,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.88 : 41,997.24 = 6,938 : x
  2. Step 2: Convert to fraction form
    27,997.88/41,997.24 = 6,938/x
  3. Step 3: Cross multiply
    27,997.88x = 41,997.24 × 6,938
  4. Step 4: Simplify right side
    27,997.88x = 291,376,851.12
  5. Step 5: Solve for x
    x = 291,376,851.12/27,997.88
  6. Step 6: Final answer
    x = 10,407.10

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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.