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Finding the Fourth Proportional to 7,997.70, 11,972.85 and 5,927

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Solution

The fourth proportional to 7,997.70, 11,972.85 and 5,927 is: 8,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.70 : 11,972.85 = 5,927 : x
  2. Step 2: Convert to fraction form
    7,997.70/11,972.85 = 5,927/x
  3. Step 3: Cross multiply
    7,997.70x = 11,972.85 × 5,927
  4. Step 4: Simplify right side
    7,997.70x = 70,963,081.95
  5. Step 5: Solve for x
    x = 70,963,081.95/7,997.70
  6. Step 6: Final answer
    x = 8,872.94

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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.