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Finding the Fourth Proportional to 8,211, 11,331.24 and 4,485

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Solution

The fourth proportional to 8,211, 11,331.24 and 4,485 is: 6,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 11,331.24 = 4,485 : x
  2. Step 2: Convert to fraction form
    8,211/11,331.24 = 4,485/x
  3. Step 3: Cross multiply
    8,211x = 11,331.24 × 4,485
  4. Step 4: Simplify right side
    8,211x = 50,820,611.40
  5. Step 5: Solve for x
    x = 50,820,611.40/8,211
  6. Step 6: Final answer
    x = 6,189.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.