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Finding the Fourth Proportional to 8,411.43, 11,619.56 and 7,968.57

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Solution

The fourth proportional to 8,411.43, 11,619.56 and 7,968.57 is: 11,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.43 : 11,619.56 = 7,968.57 : x
  2. Step 2: Convert to fraction form
    8,411.43/11,619.56 = 7,968.57/x
  3. Step 3: Cross multiply
    8,411.43x = 11,619.56 × 7,968.57
  4. Step 4: Simplify right side
    8,411.43x = 92,591,237.39
  5. Step 5: Solve for x
    x = 92,591,237.39/8,411.43
  6. Step 6: Final answer
    x = 11,007.79

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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.