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Finding the Fourth Proportional to 8,322.48, 11,496.84 and 6,654.96

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Solution

The fourth proportional to 8,322.48, 11,496.84 and 6,654.96 is: 9,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.48 : 11,496.84 = 6,654.96 : x
  2. Step 2: Convert to fraction form
    8,322.48/11,496.84 = 6,654.96/x
  3. Step 3: Cross multiply
    8,322.48x = 11,496.84 × 6,654.96
  4. Step 4: Simplify right side
    8,322.48x = 76,511,010.33
  5. Step 5: Solve for x
    x = 76,511,010.33/8,322.48
  6. Step 6: Final answer
    x = 9,193.29

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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.