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Finding the Fourth Proportional to 10,692.76, 16,027.80 and 4,116.10

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Solution

The fourth proportional to 10,692.76, 16,027.80 and 4,116.10 is: 6,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.76 : 16,027.80 = 4,116.10 : x
  2. Step 2: Convert to fraction form
    10,692.76/16,027.80 = 4,116.10/x
  3. Step 3: Cross multiply
    10,692.76x = 16,027.80 × 4,116.10
  4. Step 4: Simplify right side
    10,692.76x = 65,972,027.58
  5. Step 5: Solve for x
    x = 65,972,027.58/10,692.76
  6. Step 6: Final answer
    x = 6,169.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.