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Finding the Fourth Proportional to 8,464.02, 12,692.52 and 3,198.11

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Solution

The fourth proportional to 8,464.02, 12,692.52 and 3,198.11 is: 4,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.02 : 12,692.52 = 3,198.11 : x
  2. Step 2: Convert to fraction form
    8,464.02/12,692.52 = 3,198.11/x
  3. Step 3: Cross multiply
    8,464.02x = 12,692.52 × 3,198.11
  4. Step 4: Simplify right side
    8,464.02x = 40,592,011.67
  5. Step 5: Solve for x
    x = 40,592,011.67/8,464.02
  6. Step 6: Final answer
    x = 4,795.83

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