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Finding the Fourth Proportional to 8,032.92, 11,086.08 and 4,496.46

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Solution

The fourth proportional to 8,032.92, 11,086.08 and 4,496.46 is: 6,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.92 : 11,086.08 = 4,496.46 : x
  2. Step 2: Convert to fraction form
    8,032.92/11,086.08 = 4,496.46/x
  3. Step 3: Cross multiply
    8,032.92x = 11,086.08 × 4,496.46
  4. Step 4: Simplify right side
    8,032.92x = 49,848,115.28
  5. Step 5: Solve for x
    x = 49,848,115.28/8,032.92
  6. Step 6: Final answer
    x = 6,205.48

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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.