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Finding the Fourth Proportional to 12,584.39, 17,365.37 and 7,279.56

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Solution

The fourth proportional to 12,584.39, 17,365.37 and 7,279.56 is: 10,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.39 : 17,365.37 = 7,279.56 : x
  2. Step 2: Convert to fraction form
    12,584.39/17,365.37 = 7,279.56/x
  3. Step 3: Cross multiply
    12,584.39x = 17,365.37 × 7,279.56
  4. Step 4: Simplify right side
    12,584.39x = 126,412,216.44
  5. Step 5: Solve for x
    x = 126,412,216.44/12,584.39
  6. Step 6: Final answer
    x = 10,045.16

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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.