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Finding the Fourth Proportional to 7,644.73, 10,548.88 and 4,286.85

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Solution

The fourth proportional to 7,644.73, 10,548.88 and 4,286.85 is: 5,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.73 : 10,548.88 = 4,286.85 : x
  2. Step 2: Convert to fraction form
    7,644.73/10,548.88 = 4,286.85/x
  3. Step 3: Cross multiply
    7,644.73x = 10,548.88 × 4,286.85
  4. Step 4: Simplify right side
    7,644.73x = 45,221,469.73
  5. Step 5: Solve for x
    x = 45,221,469.73/7,644.73
  6. Step 6: Final answer
    x = 5,915.38

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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.