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Finding the Fourth Proportional to 11,760.92, 16,229.73 and 6,455.73

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Solution

The fourth proportional to 11,760.92, 16,229.73 and 6,455.73 is: 8,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.92 : 16,229.73 = 6,455.73 : x
  2. Step 2: Convert to fraction form
    11,760.92/16,229.73 = 6,455.73/x
  3. Step 3: Cross multiply
    11,760.92x = 16,229.73 × 6,455.73
  4. Step 4: Simplify right side
    11,760.92x = 104,774,754.85
  5. Step 5: Solve for x
    x = 104,774,754.85/11,760.92
  6. Step 6: Final answer
    x = 8,908.72

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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.