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Finding the Fourth Proportional to 8,221.20, 12,336.48 and 4,942.32

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Solution

The fourth proportional to 8,221.20, 12,336.48 and 4,942.32 is: 7,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.20 : 12,336.48 = 4,942.32 : x
  2. Step 2: Convert to fraction form
    8,221.20/12,336.48 = 4,942.32/x
  3. Step 3: Cross multiply
    8,221.20x = 12,336.48 × 4,942.32
  4. Step 4: Simplify right side
    8,221.20x = 60,970,831.83
  5. Step 5: Solve for x
    x = 60,970,831.83/8,221.20
  6. Step 6: Final answer
    x = 7,416.29

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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.