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Finding the Fourth Proportional to 11,763.10, 17,633.70 and 3,966.44

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Solution

The fourth proportional to 11,763.10, 17,633.70 and 3,966.44 is: 5,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.10 : 17,633.70 = 3,966.44 : x
  2. Step 2: Convert to fraction form
    11,763.10/17,633.70 = 3,966.44/x
  3. Step 3: Cross multiply
    11,763.10x = 17,633.70 × 3,966.44
  4. Step 4: Simplify right side
    11,763.10x = 69,943,013.03
  5. Step 5: Solve for x
    x = 69,943,013.03/11,763.10
  6. Step 6: Final answer
    x = 5,945.97

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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.