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Finding the Fourth Proportional to 10,789.50, 16,184.26 and 6,169.26

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Solution

The fourth proportional to 10,789.50, 16,184.26 and 6,169.26 is: 9,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.50 : 16,184.26 = 6,169.26 : x
  2. Step 2: Convert to fraction form
    10,789.50/16,184.26 = 6,169.26/x
  3. Step 3: Cross multiply
    10,789.50x = 16,184.26 × 6,169.26
  4. Step 4: Simplify right side
    10,789.50x = 99,844,907.85
  5. Step 5: Solve for x
    x = 99,844,907.85/10,789.50
  6. Step 6: Final answer
    x = 9,253.90

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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.