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Finding the Fourth Proportional to 10,249.05, 14,142.65 and 5,772.09

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Solution

The fourth proportional to 10,249.05, 14,142.65 and 5,772.09 is: 7,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.05 : 14,142.65 = 5,772.09 : x
  2. Step 2: Convert to fraction form
    10,249.05/14,142.65 = 5,772.09/x
  3. Step 3: Cross multiply
    10,249.05x = 14,142.65 × 5,772.09
  4. Step 4: Simplify right side
    10,249.05x = 81,632,619.78
  5. Step 5: Solve for x
    x = 81,632,619.78/10,249.05
  6. Step 6: Final answer
    x = 7,964.90

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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.