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Finding the Fourth Proportional to 8,692.84, 13,029.26 and 3,757.52

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Solution

The fourth proportional to 8,692.84, 13,029.26 and 3,757.52 is: 5,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.84 : 13,029.26 = 3,757.52 : x
  2. Step 2: Convert to fraction form
    8,692.84/13,029.26 = 3,757.52/x
  3. Step 3: Cross multiply
    8,692.84x = 13,029.26 × 3,757.52
  4. Step 4: Simplify right side
    8,692.84x = 48,957,705.04
  5. Step 5: Solve for x
    x = 48,957,705.04/8,692.84
  6. Step 6: Final answer
    x = 5,631.96

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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.