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Finding the Fourth Proportional to 8,231.64, 11,355.04 and 5,046.48

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Solution

The fourth proportional to 8,231.64, 11,355.04 and 5,046.48 is: 6,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.64 : 11,355.04 = 5,046.48 : x
  2. Step 2: Convert to fraction form
    8,231.64/11,355.04 = 5,046.48/x
  3. Step 3: Cross multiply
    8,231.64x = 11,355.04 × 5,046.48
  4. Step 4: Simplify right side
    8,231.64x = 57,302,982.26
  5. Step 5: Solve for x
    x = 57,302,982.26/8,231.64
  6. Step 6: Final answer
    x = 6,961.31

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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.