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Finding the Fourth Proportional to 12,584.18, 17,364.22 and 7,279.49

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Solution

The fourth proportional to 12,584.18, 17,364.22 and 7,279.49 is: 10,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.18 : 17,364.22 = 7,279.49 : x
  2. Step 2: Convert to fraction form
    12,584.18/17,364.22 = 7,279.49/x
  3. Step 3: Cross multiply
    12,584.18x = 17,364.22 × 7,279.49
  4. Step 4: Simplify right side
    12,584.18x = 126,402,560.83
  5. Step 5: Solve for x
    x = 126,402,560.83/12,584.18
  6. Step 6: Final answer
    x = 10,044.56

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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.