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Finding the Fourth Proportional to 11,174.36, 16,761.52 and 2,854.38

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Solution

The fourth proportional to 11,174.36, 16,761.52 and 2,854.38 is: 4,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.36 : 16,761.52 = 2,854.38 : x
  2. Step 2: Convert to fraction form
    11,174.36/16,761.52 = 2,854.38/x
  3. Step 3: Cross multiply
    11,174.36x = 16,761.52 × 2,854.38
  4. Step 4: Simplify right side
    11,174.36x = 47,843,747.46
  5. Step 5: Solve for x
    x = 47,843,747.46/11,174.36
  6. Step 6: Final answer
    x = 4,281.56

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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.