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Finding the Fourth Proportional to 8,469.13, 11,687.48 and 4,692.38

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Solution

The fourth proportional to 8,469.13, 11,687.48 and 4,692.38 is: 6,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.13 : 11,687.48 = 4,692.38 : x
  2. Step 2: Convert to fraction form
    8,469.13/11,687.48 = 4,692.38/x
  3. Step 3: Cross multiply
    8,469.13x = 11,687.48 × 4,692.38
  4. Step 4: Simplify right side
    8,469.13x = 54,842,068.18
  5. Step 5: Solve for x
    x = 54,842,068.18/8,469.13
  6. Step 6: Final answer
    x = 6,475.53

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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.