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Finding the Fourth Proportional to 8,243.71, 11,380.27 and 4,706.24

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Solution

The fourth proportional to 8,243.71, 11,380.27 and 4,706.24 is: 6,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.71 : 11,380.27 = 4,706.24 : x
  2. Step 2: Convert to fraction form
    8,243.71/11,380.27 = 4,706.24/x
  3. Step 3: Cross multiply
    8,243.71x = 11,380.27 × 4,706.24
  4. Step 4: Simplify right side
    8,243.71x = 53,558,258.35
  5. Step 5: Solve for x
    x = 53,558,258.35/8,243.71
  6. Step 6: Final answer
    x = 6,496.86

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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.