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Finding the Fourth Proportional to 6,861.62, 10,284.22 and 3,160.12

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Solution

The fourth proportional to 6,861.62, 10,284.22 and 3,160.12 is: 4,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.62 : 10,284.22 = 3,160.12 : x
  2. Step 2: Convert to fraction form
    6,861.62/10,284.22 = 3,160.12/x
  3. Step 3: Cross multiply
    6,861.62x = 10,284.22 × 3,160.12
  4. Step 4: Simplify right side
    6,861.62x = 32,499,369.31
  5. Step 5: Solve for x
    x = 32,499,369.31/6,861.62
  6. Step 6: Final answer
    x = 4,736.40

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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.