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Finding the Fourth Proportional to 11,540.80, 17,327.40 and 7,166.80

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Solution

The fourth proportional to 11,540.80, 17,327.40 and 7,166.80 is: 10,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.80 : 17,327.40 = 7,166.80 : x
  2. Step 2: Convert to fraction form
    11,540.80/17,327.40 = 7,166.80/x
  3. Step 3: Cross multiply
    11,540.80x = 17,327.40 × 7,166.80
  4. Step 4: Simplify right side
    11,540.80x = 124,182,010.32
  5. Step 5: Solve for x
    x = 124,182,010.32/11,540.80
  6. Step 6: Final answer
    x = 10,760.26

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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.