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Finding the Fourth Proportional to 11,471.11, 15,845.37 and 8,984.43

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Solution

The fourth proportional to 11,471.11, 15,845.37 and 8,984.43 is: 12,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.11 : 15,845.37 = 8,984.43 : x
  2. Step 2: Convert to fraction form
    11,471.11/15,845.37 = 8,984.43/x
  3. Step 3: Cross multiply
    11,471.11x = 15,845.37 × 8,984.43
  4. Step 4: Simplify right side
    11,471.11x = 142,361,617.59
  5. Step 5: Solve for x
    x = 142,361,617.59/11,471.11
  6. Step 6: Final answer
    x = 12,410.45

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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.