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Finding the Fourth Proportional to 6,778.84, 10,141.11 and 5,864.23

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Solution

The fourth proportional to 6,778.84, 10,141.11 and 5,864.23 is: 8,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.84 : 10,141.11 = 5,864.23 : x
  2. Step 2: Convert to fraction form
    6,778.84/10,141.11 = 5,864.23/x
  3. Step 3: Cross multiply
    6,778.84x = 10,141.11 × 5,864.23
  4. Step 4: Simplify right side
    6,778.84x = 59,469,801.50
  5. Step 5: Solve for x
    x = 59,469,801.50/6,778.84
  6. Step 6: Final answer
    x = 8,772.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.