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Finding the Fourth Proportional to 8,383.82, 12,567.92 and 2,833.28

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Solution

The fourth proportional to 8,383.82, 12,567.92 and 2,833.28 is: 4,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.82 : 12,567.92 = 2,833.28 : x
  2. Step 2: Convert to fraction form
    8,383.82/12,567.92 = 2,833.28/x
  3. Step 3: Cross multiply
    8,383.82x = 12,567.92 × 2,833.28
  4. Step 4: Simplify right side
    8,383.82x = 35,608,453.63
  5. Step 5: Solve for x
    x = 35,608,453.63/8,383.82
  6. Step 6: Final answer
    x = 4,247.28

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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.