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Finding the Fourth Proportional to 7,997.28, 11,956.50 and 6,778.32

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Solution

The fourth proportional to 7,997.28, 11,956.50 and 6,778.32 is: 10,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.28 : 11,956.50 = 6,778.32 : x
  2. Step 2: Convert to fraction form
    7,997.28/11,956.50 = 6,778.32/x
  3. Step 3: Cross multiply
    7,997.28x = 11,956.50 × 6,778.32
  4. Step 4: Simplify right side
    7,997.28x = 81,044,983.08
  5. Step 5: Solve for x
    x = 81,044,983.08/7,997.28
  6. Step 6: Final answer
    x = 10,134.07

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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.