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Finding the Fourth Proportional to 10,231.37, 14,119.37 and 5,755.08

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Solution

The fourth proportional to 10,231.37, 14,119.37 and 5,755.08 is: 7,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.37 : 14,119.37 = 5,755.08 : x
  2. Step 2: Convert to fraction form
    10,231.37/14,119.37 = 5,755.08/x
  3. Step 3: Cross multiply
    10,231.37x = 14,119.37 × 5,755.08
  4. Step 4: Simplify right side
    10,231.37x = 81,258,103.90
  5. Step 5: Solve for x
    x = 81,258,103.90/10,231.37
  6. Step 6: Final answer
    x = 7,942.06

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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.