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Finding the Fourth Proportional to 8,441.97, 11,650.65 and 5,604.33

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Solution

The fourth proportional to 8,441.97, 11,650.65 and 5,604.33 is: 7,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.97 : 11,650.65 = 5,604.33 : x
  2. Step 2: Convert to fraction form
    8,441.97/11,650.65 = 5,604.33/x
  3. Step 3: Cross multiply
    8,441.97x = 11,650.65 × 5,604.33
  4. Step 4: Simplify right side
    8,441.97x = 65,294,087.31
  5. Step 5: Solve for x
    x = 65,294,087.31/8,441.97
  6. Step 6: Final answer
    x = 7,734.46

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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.