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Finding the Fourth Proportional to 8,311.66, 11,469.57 and 4,772.38

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Solution

The fourth proportional to 8,311.66, 11,469.57 and 4,772.38 is: 6,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.66 : 11,469.57 = 4,772.38 : x
  2. Step 2: Convert to fraction form
    8,311.66/11,469.57 = 4,772.38/x
  3. Step 3: Cross multiply
    8,311.66x = 11,469.57 × 4,772.38
  4. Step 4: Simplify right side
    8,311.66x = 54,737,146.48
  5. Step 5: Solve for x
    x = 54,737,146.48/8,311.66
  6. Step 6: Final answer
    x = 6,585.59

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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.