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Finding the Fourth Proportional to 8,032.88, 11,086.26 and 4,496.42

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Solution

The fourth proportional to 8,032.88, 11,086.26 and 4,496.42 is: 6,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.88 : 11,086.26 = 4,496.42 : x
  2. Step 2: Convert to fraction form
    8,032.88/11,086.26 = 4,496.42/x
  3. Step 3: Cross multiply
    8,032.88x = 11,086.26 × 4,496.42
  4. Step 4: Simplify right side
    8,032.88x = 49,848,481.19
  5. Step 5: Solve for x
    x = 49,848,481.19/8,032.88
  6. Step 6: Final answer
    x = 6,205.56

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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.