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Finding the Fourth Proportional to 10,104.89, 13,944.31 and 5,629.12

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Solution

The fourth proportional to 10,104.89, 13,944.31 and 5,629.12 is: 7,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.89 : 13,944.31 = 5,629.12 : x
  2. Step 2: Convert to fraction form
    10,104.89/13,944.31 = 5,629.12/x
  3. Step 3: Cross multiply
    10,104.89x = 13,944.31 × 5,629.12
  4. Step 4: Simplify right side
    10,104.89x = 78,494,145.37
  5. Step 5: Solve for x
    x = 78,494,145.37/10,104.89
  6. Step 6: Final answer
    x = 7,767.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.