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Finding the Fourth Proportional to 11,431.64, 17,143.41 and 5,186.41

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Solution

The fourth proportional to 11,431.64, 17,143.41 and 5,186.41 is: 7,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.64 : 17,143.41 = 5,186.41 : x
  2. Step 2: Convert to fraction form
    11,431.64/17,143.41 = 5,186.41/x
  3. Step 3: Cross multiply
    11,431.64x = 17,143.41 × 5,186.41
  4. Step 4: Simplify right side
    11,431.64x = 88,912,753.06
  5. Step 5: Solve for x
    x = 88,912,753.06/11,431.64
  6. Step 6: Final answer
    x = 7,777.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.