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Finding the Fourth Proportional to 10,794.26, 16,189.50 and 4,220.66

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Solution

The fourth proportional to 10,794.26, 16,189.50 and 4,220.66 is: 6,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.26 : 16,189.50 = 4,220.66 : x
  2. Step 2: Convert to fraction form
    10,794.26/16,189.50 = 4,220.66/x
  3. Step 3: Cross multiply
    10,794.26x = 16,189.50 × 4,220.66
  4. Step 4: Simplify right side
    10,794.26x = 68,330,375.07
  5. Step 5: Solve for x
    x = 68,330,375.07/10,794.26
  6. Step 6: Final answer
    x = 6,330.25

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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.