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Finding the Fourth Proportional to 11,811.74, 16,299.51 and 6,776.78

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Solution

The fourth proportional to 11,811.74, 16,299.51 and 6,776.78 is: 9,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.74 : 16,299.51 = 6,776.78 : x
  2. Step 2: Convert to fraction form
    11,811.74/16,299.51 = 6,776.78/x
  3. Step 3: Cross multiply
    11,811.74x = 16,299.51 × 6,776.78
  4. Step 4: Simplify right side
    11,811.74x = 110,458,193.38
  5. Step 5: Solve for x
    x = 110,458,193.38/11,811.74
  6. Step 6: Final answer
    x = 9,351.56

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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.