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Finding the Fourth Proportional to 8,143.14, 12,216.87 and 3,463.32

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Solution

The fourth proportional to 8,143.14, 12,216.87 and 3,463.32 is: 5,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.14 : 12,216.87 = 3,463.32 : x
  2. Step 2: Convert to fraction form
    8,143.14/12,216.87 = 3,463.32/x
  3. Step 3: Cross multiply
    8,143.14x = 12,216.87 × 3,463.32
  4. Step 4: Simplify right side
    8,143.14x = 42,310,930.21
  5. Step 5: Solve for x
    x = 42,310,930.21/8,143.14
  6. Step 6: Final answer
    x = 5,195.90

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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.