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Finding the Fourth Proportional to 11,164.33, 16,734.75 and 3,766.20

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Solution

The fourth proportional to 11,164.33, 16,734.75 and 3,766.20 is: 5,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.33 : 16,734.75 = 3,766.20 : x
  2. Step 2: Convert to fraction form
    11,164.33/16,734.75 = 3,766.20/x
  3. Step 3: Cross multiply
    11,164.33x = 16,734.75 × 3,766.20
  4. Step 4: Simplify right side
    11,164.33x = 63,026,415.45
  5. Step 5: Solve for x
    x = 63,026,415.45/11,164.33
  6. Step 6: Final answer
    x = 5,645.34

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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.