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Finding the Fourth Proportional to 8,733.24, 13,104.42 and 8,262.74

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Solution

The fourth proportional to 8,733.24, 13,104.42 and 8,262.74 is: 12,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.24 : 13,104.42 = 8,262.74 : x
  2. Step 2: Convert to fraction form
    8,733.24/13,104.42 = 8,262.74/x
  3. Step 3: Cross multiply
    8,733.24x = 13,104.42 × 8,262.74
  4. Step 4: Simplify right side
    8,733.24x = 108,278,415.31
  5. Step 5: Solve for x
    x = 108,278,415.31/8,733.24
  6. Step 6: Final answer
    x = 12,398.42

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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.