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Finding the Fourth Proportional to 8,381.27, 11,564.44 and 5,396.69

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Solution

The fourth proportional to 8,381.27, 11,564.44 and 5,396.69 is: 7,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.27 : 11,564.44 = 5,396.69 : x
  2. Step 2: Convert to fraction form
    8,381.27/11,564.44 = 5,396.69/x
  3. Step 3: Cross multiply
    8,381.27x = 11,564.44 × 5,396.69
  4. Step 4: Simplify right side
    8,381.27x = 62,409,713.12
  5. Step 5: Solve for x
    x = 62,409,713.12/8,381.27
  6. Step 6: Final answer
    x = 7,446.33

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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.