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Finding the Fourth Proportional to 8,222.92, 12,336.30 and 4,523.24

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Solution

The fourth proportional to 8,222.92, 12,336.30 and 4,523.24 is: 6,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.92 : 12,336.30 = 4,523.24 : x
  2. Step 2: Convert to fraction form
    8,222.92/12,336.30 = 4,523.24/x
  3. Step 3: Cross multiply
    8,222.92x = 12,336.30 × 4,523.24
  4. Step 4: Simplify right side
    8,222.92x = 55,800,076.45
  5. Step 5: Solve for x
    x = 55,800,076.45/8,222.92
  6. Step 6: Final answer
    x = 6,785.92

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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.