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Finding the Fourth Proportional to 8,468.78, 11,687.82 and 4,692.26

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Solution

The fourth proportional to 8,468.78, 11,687.82 and 4,692.26 is: 6,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.78 : 11,687.82 = 4,692.26 : x
  2. Step 2: Convert to fraction form
    8,468.78/11,687.82 = 4,692.26/x
  3. Step 3: Cross multiply
    8,468.78x = 11,687.82 × 4,692.26
  4. Step 4: Simplify right side
    8,468.78x = 54,842,290.27
  5. Step 5: Solve for x
    x = 54,842,290.27/8,468.78
  6. Step 6: Final answer
    x = 6,475.82

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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.