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Finding the Fourth Proportional to 11,181.28, 16,772 and 3,283.92

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Solution

The fourth proportional to 11,181.28, 16,772 and 3,283.92 is: 4,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.28 : 16,772 = 3,283.92 : x
  2. Step 2: Convert to fraction form
    11,181.28/16,772 = 3,283.92/x
  3. Step 3: Cross multiply
    11,181.28x = 16,772 × 3,283.92
  4. Step 4: Simplify right side
    11,181.28x = 55,077,906.24
  5. Step 5: Solve for x
    x = 55,077,906.24/11,181.28
  6. Step 6: Final answer
    x = 4,925.90

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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.