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Finding the Fourth Proportional to 8,896.66, 12,277.38 and 4,917.78

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Solution

The fourth proportional to 8,896.66, 12,277.38 and 4,917.78 is: 6,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.66 : 12,277.38 = 4,917.78 : x
  2. Step 2: Convert to fraction form
    8,896.66/12,277.38 = 4,917.78/x
  3. Step 3: Cross multiply
    8,896.66x = 12,277.38 × 4,917.78
  4. Step 4: Simplify right side
    8,896.66x = 60,377,453.82
  5. Step 5: Solve for x
    x = 60,377,453.82/8,896.66
  6. Step 6: Final answer
    x = 6,786.53

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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.