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Finding the Fourth Proportional to 8,692.44, 13,039.86 and 2,849.64

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Solution

The fourth proportional to 8,692.44, 13,039.86 and 2,849.64 is: 4,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.44 : 13,039.86 = 2,849.64 : x
  2. Step 2: Convert to fraction form
    8,692.44/13,039.86 = 2,849.64/x
  3. Step 3: Cross multiply
    8,692.44x = 13,039.86 × 2,849.64
  4. Step 4: Simplify right side
    8,692.44x = 37,158,906.65
  5. Step 5: Solve for x
    x = 37,158,906.65/8,692.44
  6. Step 6: Final answer
    x = 4,274.85

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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.