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Finding the Fourth Proportional to 10,782.92, 16,166.39 and 3,383.17

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Solution

The fourth proportional to 10,782.92, 16,166.39 and 3,383.17 is: 5,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.92 : 16,166.39 = 3,383.17 : x
  2. Step 2: Convert to fraction form
    10,782.92/16,166.39 = 3,383.17/x
  3. Step 3: Cross multiply
    10,782.92x = 16,166.39 × 3,383.17
  4. Step 4: Simplify right side
    10,782.92x = 54,693,588.32
  5. Step 5: Solve for x
    x = 54,693,588.32/10,782.92
  6. Step 6: Final answer
    x = 5,072.24

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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.