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Finding the Fourth Proportional to 11,486.89, 17,229.75 and 3,166.98

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Solution

The fourth proportional to 11,486.89, 17,229.75 and 3,166.98 is: 4,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.89 : 17,229.75 = 3,166.98 : x
  2. Step 2: Convert to fraction form
    11,486.89/17,229.75 = 3,166.98/x
  3. Step 3: Cross multiply
    11,486.89x = 17,229.75 × 3,166.98
  4. Step 4: Simplify right side
    11,486.89x = 54,566,273.66
  5. Step 5: Solve for x
    x = 54,566,273.66/11,486.89
  6. Step 6: Final answer
    x = 4,750.31

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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.