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Finding the Fourth Proportional to 7,997.41, 11,997.75 and 2,806.93

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Solution

The fourth proportional to 7,997.41, 11,997.75 and 2,806.93 is: 4,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.41 : 11,997.75 = 2,806.93 : x
  2. Step 2: Convert to fraction form
    7,997.41/11,997.75 = 2,806.93/x
  3. Step 3: Cross multiply
    7,997.41x = 11,997.75 × 2,806.93
  4. Step 4: Simplify right side
    7,997.41x = 33,676,844.41
  5. Step 5: Solve for x
    x = 33,676,844.41/7,997.41
  6. Step 6: Final answer
    x = 4,210.97

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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.