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Finding the Fourth Proportional to 11,709.43, 16,143.76 and 8,523.24

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Solution

The fourth proportional to 11,709.43, 16,143.76 and 8,523.24 is: 11,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.43 : 16,143.76 = 8,523.24 : x
  2. Step 2: Convert to fraction form
    11,709.43/16,143.76 = 8,523.24/x
  3. Step 3: Cross multiply
    11,709.43x = 16,143.76 × 8,523.24
  4. Step 4: Simplify right side
    11,709.43x = 137,597,133.96
  5. Step 5: Solve for x
    x = 137,597,133.96/11,709.43
  6. Step 6: Final answer
    x = 11,750.97

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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.