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Finding the Fourth Proportional to 8,533.70, 12,791.72 and 3,267.44

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Solution

The fourth proportional to 8,533.70, 12,791.72 and 3,267.44 is: 4,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.70 : 12,791.72 = 3,267.44 : x
  2. Step 2: Convert to fraction form
    8,533.70/12,791.72 = 3,267.44/x
  3. Step 3: Cross multiply
    8,533.70x = 12,791.72 × 3,267.44
  4. Step 4: Simplify right side
    8,533.70x = 41,796,169.78
  5. Step 5: Solve for x
    x = 41,796,169.78/8,533.70
  6. Step 6: Final answer
    x = 4,897.78

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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.