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Finding the Fourth Proportional to 8,322.35, 11,481.14 and 5,486.13

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Solution

The fourth proportional to 8,322.35, 11,481.14 and 5,486.13 is: 7,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.35 : 11,481.14 = 5,486.13 : x
  2. Step 2: Convert to fraction form
    8,322.35/11,481.14 = 5,486.13/x
  3. Step 3: Cross multiply
    8,322.35x = 11,481.14 × 5,486.13
  4. Step 4: Simplify right side
    8,322.35x = 62,987,040.30
  5. Step 5: Solve for x
    x = 62,987,040.30/8,322.35
  6. Step 6: Final answer
    x = 7,568.42

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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.