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Finding the Fourth Proportional to 8,239.20, 11,367.20 and 5,720.64

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Solution

The fourth proportional to 8,239.20, 11,367.20 and 5,720.64 is: 7,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.20 : 11,367.20 = 5,720.64 : x
  2. Step 2: Convert to fraction form
    8,239.20/11,367.20 = 5,720.64/x
  3. Step 3: Cross multiply
    8,239.20x = 11,367.20 × 5,720.64
  4. Step 4: Simplify right side
    8,239.20x = 65,027,659.01
  5. Step 5: Solve for x
    x = 65,027,659.01/8,239.20
  6. Step 6: Final answer
    x = 7,892.47

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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.