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Finding the Fourth Proportional to 8,563.62, 12,845.24 and 3,946.62

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Solution

The fourth proportional to 8,563.62, 12,845.24 and 3,946.62 is: 5,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.62 : 12,845.24 = 3,946.62 : x
  2. Step 2: Convert to fraction form
    8,563.62/12,845.24 = 3,946.62/x
  3. Step 3: Cross multiply
    8,563.62x = 12,845.24 × 3,946.62
  4. Step 4: Simplify right side
    8,563.62x = 50,695,261.36
  5. Step 5: Solve for x
    x = 50,695,261.36/8,563.62
  6. Step 6: Final answer
    x = 5,919.84

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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.