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Finding the Fourth Proportional to 11,252.02, 16,864.35 and 8,469.73

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Solution

The fourth proportional to 11,252.02, 16,864.35 and 8,469.73 is: 12,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.02 : 16,864.35 = 8,469.73 : x
  2. Step 2: Convert to fraction form
    11,252.02/16,864.35 = 8,469.73/x
  3. Step 3: Cross multiply
    11,252.02x = 16,864.35 × 8,469.73
  4. Step 4: Simplify right side
    11,252.02x = 142,836,491.13
  5. Step 5: Solve for x
    x = 142,836,491.13/11,252.02
  6. Step 6: Final answer
    x = 12,694.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.