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Finding the Fourth Proportional to 8,321.96, 11,486.23 and 5,489.84

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Solution

The fourth proportional to 8,321.96, 11,486.23 and 5,489.84 is: 7,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.96 : 11,486.23 = 5,489.84 : x
  2. Step 2: Convert to fraction form
    8,321.96/11,486.23 = 5,489.84/x
  3. Step 3: Cross multiply
    8,321.96x = 11,486.23 × 5,489.84
  4. Step 4: Simplify right side
    8,321.96x = 63,057,564.90
  5. Step 5: Solve for x
    x = 63,057,564.90/8,321.96
  6. Step 6: Final answer
    x = 7,577.25

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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.