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Finding the Fourth Proportional to 10,469.78, 14,448.12 and 5,753.96

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Solution

The fourth proportional to 10,469.78, 14,448.12 and 5,753.96 is: 7,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.78 : 14,448.12 = 5,753.96 : x
  2. Step 2: Convert to fraction form
    10,469.78/14,448.12 = 5,753.96/x
  3. Step 3: Cross multiply
    10,469.78x = 14,448.12 × 5,753.96
  4. Step 4: Simplify right side
    10,469.78x = 83,133,904.56
  5. Step 5: Solve for x
    x = 83,133,904.56/10,469.78
  6. Step 6: Final answer
    x = 7,940.37

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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.