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Finding the Fourth Proportional to 8,228.27, 11,352.06 and 4,689.44

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Solution

The fourth proportional to 8,228.27, 11,352.06 and 4,689.44 is: 6,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.27 : 11,352.06 = 4,689.44 : x
  2. Step 2: Convert to fraction form
    8,228.27/11,352.06 = 4,689.44/x
  3. Step 3: Cross multiply
    8,228.27x = 11,352.06 × 4,689.44
  4. Step 4: Simplify right side
    8,228.27x = 53,234,804.25
  5. Step 5: Solve for x
    x = 53,234,804.25/8,228.27
  6. Step 6: Final answer
    x = 6,469.74

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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.