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Finding the Fourth Proportional to 8,192.40, 12,285.60 and 2,647.20

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Solution

The fourth proportional to 8,192.40, 12,285.60 and 2,647.20 is: 3,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.40 : 12,285.60 = 2,647.20 : x
  2. Step 2: Convert to fraction form
    8,192.40/12,285.60 = 2,647.20/x
  3. Step 3: Cross multiply
    8,192.40x = 12,285.60 × 2,647.20
  4. Step 4: Simplify right side
    8,192.40x = 32,522,440.32
  5. Step 5: Solve for x
    x = 32,522,440.32/8,192.40
  6. Step 6: Final answer
    x = 3,969.83

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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.