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Finding the Fourth Proportional to 8,238.42, 11,378.25 and 5,581.22

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Solution

The fourth proportional to 8,238.42, 11,378.25 and 5,581.22 is: 7,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.42 : 11,378.25 = 5,581.22 : x
  2. Step 2: Convert to fraction form
    8,238.42/11,378.25 = 5,581.22/x
  3. Step 3: Cross multiply
    8,238.42x = 11,378.25 × 5,581.22
  4. Step 4: Simplify right side
    8,238.42x = 63,504,459.57
  5. Step 5: Solve for x
    x = 63,504,459.57/8,238.42
  6. Step 6: Final answer
    x = 7,708.33

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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.