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Finding the Fourth Proportional to 8,221.86, 11,336.94 and 5,232.96

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Solution

The fourth proportional to 8,221.86, 11,336.94 and 5,232.96 is: 7,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.86 : 11,336.94 = 5,232.96 : x
  2. Step 2: Convert to fraction form
    8,221.86/11,336.94 = 5,232.96/x
  3. Step 3: Cross multiply
    8,221.86x = 11,336.94 × 5,232.96
  4. Step 4: Simplify right side
    8,221.86x = 59,325,753.54
  5. Step 5: Solve for x
    x = 59,325,753.54/8,221.86
  6. Step 6: Final answer
    x = 7,215.61

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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.