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Finding the Fourth Proportional to 11,777.67, 16,257.24 and 8,251.20

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Solution

The fourth proportional to 11,777.67, 16,257.24 and 8,251.20 is: 11,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.67 : 16,257.24 = 8,251.20 : x
  2. Step 2: Convert to fraction form
    11,777.67/16,257.24 = 8,251.20/x
  3. Step 3: Cross multiply
    11,777.67x = 16,257.24 × 8,251.20
  4. Step 4: Simplify right side
    11,777.67x = 134,141,738.69
  5. Step 5: Solve for x
    x = 134,141,738.69/11,777.67
  6. Step 6: Final answer
    x = 11,389.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.