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Finding the Fourth Proportional to 11,763.92, 16,234.49 and 6,458.83

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Solution

The fourth proportional to 11,763.92, 16,234.49 and 6,458.83 is: 8,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.92 : 16,234.49 = 6,458.83 : x
  2. Step 2: Convert to fraction form
    11,763.92/16,234.49 = 6,458.83/x
  3. Step 3: Cross multiply
    11,763.92x = 16,234.49 × 6,458.83
  4. Step 4: Simplify right side
    11,763.92x = 104,855,786.61
  5. Step 5: Solve for x
    x = 104,855,786.61/11,763.92
  6. Step 6: Final answer
    x = 8,913.34

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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.