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Finding the Fourth Proportional to 12,311.43, 18,468.42 and 3,991.11

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Solution

The fourth proportional to 12,311.43, 18,468.42 and 3,991.11 is: 5,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.43 : 18,468.42 = 3,991.11 : x
  2. Step 2: Convert to fraction form
    12,311.43/18,468.42 = 3,991.11/x
  3. Step 3: Cross multiply
    12,311.43x = 18,468.42 × 3,991.11
  4. Step 4: Simplify right side
    12,311.43x = 73,709,495.75
  5. Step 5: Solve for x
    x = 73,709,495.75/12,311.43
  6. Step 6: Final answer
    x = 5,987.08

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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.