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Finding the Fourth Proportional to 6,863.72, 10,287.62 and 3,158.17

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Solution

The fourth proportional to 6,863.72, 10,287.62 and 3,158.17 is: 4,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.72 : 10,287.62 = 3,158.17 : x
  2. Step 2: Convert to fraction form
    6,863.72/10,287.62 = 3,158.17/x
  3. Step 3: Cross multiply
    6,863.72x = 10,287.62 × 3,158.17
  4. Step 4: Simplify right side
    6,863.72x = 32,490,023.19
  5. Step 5: Solve for x
    x = 32,490,023.19/6,863.72
  6. Step 6: Final answer
    x = 4,733.59

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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.