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Finding the Fourth Proportional to 11,164.72, 16,743.12 and 3,265

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Solution

The fourth proportional to 11,164.72, 16,743.12 and 3,265 is: 4,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.72 : 16,743.12 = 3,265 : x
  2. Step 2: Convert to fraction form
    11,164.72/16,743.12 = 3,265/x
  3. Step 3: Cross multiply
    11,164.72x = 16,743.12 × 3,265
  4. Step 4: Simplify right side
    11,164.72x = 54,666,286.80
  5. Step 5: Solve for x
    x = 54,666,286.80/11,164.72
  6. Step 6: Final answer
    x = 4,896.34

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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.