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Finding the Fourth Proportional to 8,286.87, 11,422.91 and 5,629.67

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Solution

The fourth proportional to 8,286.87, 11,422.91 and 5,629.67 is: 7,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.87 : 11,422.91 = 5,629.67 : x
  2. Step 2: Convert to fraction form
    8,286.87/11,422.91 = 5,629.67/x
  3. Step 3: Cross multiply
    8,286.87x = 11,422.91 × 5,629.67
  4. Step 4: Simplify right side
    8,286.87x = 64,307,128.48
  5. Step 5: Solve for x
    x = 64,307,128.48/8,286.87
  6. Step 6: Final answer
    x = 7,760.12

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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.