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Finding the Fourth Proportional to 10,640.34, 15,944.31 and 5,086.05

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Solution

The fourth proportional to 10,640.34, 15,944.31 and 5,086.05 is: 7,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.34 : 15,944.31 = 5,086.05 : x
  2. Step 2: Convert to fraction form
    10,640.34/15,944.31 = 5,086.05/x
  3. Step 3: Cross multiply
    10,640.34x = 15,944.31 × 5,086.05
  4. Step 4: Simplify right side
    10,640.34x = 81,093,557.88
  5. Step 5: Solve for x
    x = 81,093,557.88/10,640.34
  6. Step 6: Final answer
    x = 7,621.33

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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.