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Finding the Fourth Proportional to 8,236.82, 11,372.05 and 5,409.21

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Solution

The fourth proportional to 8,236.82, 11,372.05 and 5,409.21 is: 7,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.82 : 11,372.05 = 5,409.21 : x
  2. Step 2: Convert to fraction form
    8,236.82/11,372.05 = 5,409.21/x
  3. Step 3: Cross multiply
    8,236.82x = 11,372.05 × 5,409.21
  4. Step 4: Simplify right side
    8,236.82x = 61,513,855.99
  5. Step 5: Solve for x
    x = 61,513,855.99/8,236.82
  6. Step 6: Final answer
    x = 7,468.15

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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.