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Finding the Fourth Proportional to 13,092.54, 18,064.92 and 7,786.33

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Solution

The fourth proportional to 13,092.54, 18,064.92 and 7,786.33 is: 10,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.54 : 18,064.92 = 7,786.33 : x
  2. Step 2: Convert to fraction form
    13,092.54/18,064.92 = 7,786.33/x
  3. Step 3: Cross multiply
    13,092.54x = 18,064.92 × 7,786.33
  4. Step 4: Simplify right side
    13,092.54x = 140,659,412.58
  5. Step 5: Solve for x
    x = 140,659,412.58/13,092.54
  6. Step 6: Final answer
    x = 10,743.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.