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Finding the Fourth Proportional to 10,469.88, 14,449.32 and 5,755.14

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Solution

The fourth proportional to 10,469.88, 14,449.32 and 5,755.14 is: 7,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.88 : 14,449.32 = 5,755.14 : x
  2. Step 2: Convert to fraction form
    10,469.88/14,449.32 = 5,755.14/x
  3. Step 3: Cross multiply
    10,469.88x = 14,449.32 × 5,755.14
  4. Step 4: Simplify right side
    10,469.88x = 83,157,859.50
  5. Step 5: Solve for x
    x = 83,157,859.50/10,469.88
  6. Step 6: Final answer
    x = 7,942.58

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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.