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Finding the Fourth Proportional to 8,286.40, 11,435.28 and 4,509.57

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Solution

The fourth proportional to 8,286.40, 11,435.28 and 4,509.57 is: 6,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.40 : 11,435.28 = 4,509.57 : x
  2. Step 2: Convert to fraction form
    8,286.40/11,435.28 = 4,509.57/x
  3. Step 3: Cross multiply
    8,286.40x = 11,435.28 × 4,509.57
  4. Step 4: Simplify right side
    8,286.40x = 51,568,221.60
  5. Step 5: Solve for x
    x = 51,568,221.60/8,286.40
  6. Step 6: Final answer
    x = 6,223.23

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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.