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Finding the Fourth Proportional to 8,469.16, 11,687.46 and 4,692.48

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Solution

The fourth proportional to 8,469.16, 11,687.46 and 4,692.48 is: 6,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.16 : 11,687.46 = 4,692.48 : x
  2. Step 2: Convert to fraction form
    8,469.16/11,687.46 = 4,692.48/x
  3. Step 3: Cross multiply
    8,469.16x = 11,687.46 × 4,692.48
  4. Step 4: Simplify right side
    8,469.16x = 54,843,172.30
  5. Step 5: Solve for x
    x = 54,843,172.30/8,469.16
  6. Step 6: Final answer
    x = 6,475.63

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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.