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Finding the Fourth Proportional to 11,182, 16,773.57 and 2,862.09

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Solution

The fourth proportional to 11,182, 16,773.57 and 2,862.09 is: 4,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182 : 16,773.57 = 2,862.09 : x
  2. Step 2: Convert to fraction form
    11,182/16,773.57 = 2,862.09/x
  3. Step 3: Cross multiply
    11,182x = 16,773.57 × 2,862.09
  4. Step 4: Simplify right side
    11,182x = 48,007,383.09
  5. Step 5: Solve for x
    x = 48,007,383.09/11,182
  6. Step 6: Final answer
    x = 4,293.27

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Why These Related Problems?

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