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Finding the Fourth Proportional to 10,469.72, 14,431.36 and 8,577.97

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Solution

The fourth proportional to 10,469.72, 14,431.36 and 8,577.97 is: 11,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.72 : 14,431.36 = 8,577.97 : x
  2. Step 2: Convert to fraction form
    10,469.72/14,431.36 = 8,577.97/x
  3. Step 3: Cross multiply
    10,469.72x = 14,431.36 × 8,577.97
  4. Step 4: Simplify right side
    10,469.72x = 123,791,715.62
  5. Step 5: Solve for x
    x = 123,791,715.62/10,469.72
  6. Step 6: Final answer
    x = 11,823.78

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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.