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Finding the Fourth Proportional to 11,783.82, 16,262.67 and 6,479.70

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Solution

The fourth proportional to 11,783.82, 16,262.67 and 6,479.70 is: 8,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.82 : 16,262.67 = 6,479.70 : x
  2. Step 2: Convert to fraction form
    11,783.82/16,262.67 = 6,479.70/x
  3. Step 3: Cross multiply
    11,783.82x = 16,262.67 × 6,479.70
  4. Step 4: Simplify right side
    11,783.82x = 105,377,222.80
  5. Step 5: Solve for x
    x = 105,377,222.80/11,783.82
  6. Step 6: Final answer
    x = 8,942.54

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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.