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Finding the Fourth Proportional to 8,469.50, 11,687.54 and 4,692.66

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Solution

The fourth proportional to 8,469.50, 11,687.54 and 4,692.66 is: 6,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.50 : 11,687.54 = 4,692.66 : x
  2. Step 2: Convert to fraction form
    8,469.50/11,687.54 = 4,692.66/x
  3. Step 3: Cross multiply
    8,469.50x = 11,687.54 × 4,692.66
  4. Step 4: Simplify right side
    8,469.50x = 54,845,651.46
  5. Step 5: Solve for x
    x = 54,845,651.46/8,469.50
  6. Step 6: Final answer
    x = 6,475.67

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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.