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Finding the Fourth Proportional to 8,154.22, 12,224.04 and 3,991.64

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Solution

The fourth proportional to 8,154.22, 12,224.04 and 3,991.64 is: 5,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.22 : 12,224.04 = 3,991.64 : x
  2. Step 2: Convert to fraction form
    8,154.22/12,224.04 = 3,991.64/x
  3. Step 3: Cross multiply
    8,154.22x = 12,224.04 × 3,991.64
  4. Step 4: Simplify right side
    8,154.22x = 48,793,967.03
  5. Step 5: Solve for x
    x = 48,793,967.03/8,154.22
  6. Step 6: Final answer
    x = 5,983.89

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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.