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Finding the Fourth Proportional to 6,863.43, 10,287.20 and 3,157.89

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Solution

The fourth proportional to 6,863.43, 10,287.20 and 3,157.89 is: 4,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.43 : 10,287.20 = 3,157.89 : x
  2. Step 2: Convert to fraction form
    6,863.43/10,287.20 = 3,157.89/x
  3. Step 3: Cross multiply
    6,863.43x = 10,287.20 × 3,157.89
  4. Step 4: Simplify right side
    6,863.43x = 32,485,830.22
  5. Step 5: Solve for x
    x = 32,485,830.22/6,863.43
  6. Step 6: Final answer
    x = 4,733.18

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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.