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Finding the Fourth Proportional to 8,534.43, 12,806.37 and 3,272.94

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Solution

The fourth proportional to 8,534.43, 12,806.37 and 3,272.94 is: 4,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.43 : 12,806.37 = 3,272.94 : x
  2. Step 2: Convert to fraction form
    8,534.43/12,806.37 = 3,272.94/x
  3. Step 3: Cross multiply
    8,534.43x = 12,806.37 × 3,272.94
  4. Step 4: Simplify right side
    8,534.43x = 41,914,480.63
  5. Step 5: Solve for x
    x = 41,914,480.63/8,534.43
  6. Step 6: Final answer
    x = 4,911.22

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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.