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Finding the Fourth Proportional to 8,143.11, 12,216.29 and 3,463.08

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Solution

The fourth proportional to 8,143.11, 12,216.29 and 3,463.08 is: 5,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.11 : 12,216.29 = 3,463.08 : x
  2. Step 2: Convert to fraction form
    8,143.11/12,216.29 = 3,463.08/x
  3. Step 3: Cross multiply
    8,143.11x = 12,216.29 × 3,463.08
  4. Step 4: Simplify right side
    8,143.11x = 42,305,972.26
  5. Step 5: Solve for x
    x = 42,305,972.26/8,143.11
  6. Step 6: Final answer
    x = 5,195.31

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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.