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Finding the Fourth Proportional to 8,192.32, 11,305.20 and 4,466.32

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Solution

The fourth proportional to 8,192.32, 11,305.20 and 4,466.32 is: 6,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.32 : 11,305.20 = 4,466.32 : x
  2. Step 2: Convert to fraction form
    8,192.32/11,305.20 = 4,466.32/x
  3. Step 3: Cross multiply
    8,192.32x = 11,305.20 × 4,466.32
  4. Step 4: Simplify right side
    8,192.32x = 50,492,640.86
  5. Step 5: Solve for x
    x = 50,492,640.86/8,192.32
  6. Step 6: Final answer
    x = 6,163.41

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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.