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Finding the Fourth Proportional to 10,744.37, 16,107.39 and 4,077.14

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Solution

The fourth proportional to 10,744.37, 16,107.39 and 4,077.14 is: 6,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.37 : 16,107.39 = 4,077.14 : x
  2. Step 2: Convert to fraction form
    10,744.37/16,107.39 = 4,077.14/x
  3. Step 3: Cross multiply
    10,744.37x = 16,107.39 × 4,077.14
  4. Step 4: Simplify right side
    10,744.37x = 65,672,003.53
  5. Step 5: Solve for x
    x = 65,672,003.53/10,744.37
  6. Step 6: Final answer
    x = 6,112.23

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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.