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Finding the Fourth Proportional to 8,092.96, 11,171.74 and 5,441.92

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Solution

The fourth proportional to 8,092.96, 11,171.74 and 5,441.92 is: 7,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.96 : 11,171.74 = 5,441.92 : x
  2. Step 2: Convert to fraction form
    8,092.96/11,171.74 = 5,441.92/x
  3. Step 3: Cross multiply
    8,092.96x = 11,171.74 × 5,441.92
  4. Step 4: Simplify right side
    8,092.96x = 60,795,715.34
  5. Step 5: Solve for x
    x = 60,795,715.34/8,092.96
  6. Step 6: Final answer
    x = 7,512.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.