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Finding the Fourth Proportional to 8,228.27, 11,353.20 and 4,869.41

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Solution

The fourth proportional to 8,228.27, 11,353.20 and 4,869.41 is: 6,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.27 : 11,353.20 = 4,869.41 : x
  2. Step 2: Convert to fraction form
    8,228.27/11,353.20 = 4,869.41/x
  3. Step 3: Cross multiply
    8,228.27x = 11,353.20 × 4,869.41
  4. Step 4: Simplify right side
    8,228.27x = 55,283,328.85
  5. Step 5: Solve for x
    x = 55,283,328.85/8,228.27
  6. Step 6: Final answer
    x = 6,718.71

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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.