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Finding the Fourth Proportional to 11,198.41, 15,454.44 and 6,419.15

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Solution

The fourth proportional to 11,198.41, 15,454.44 and 6,419.15 is: 8,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.41 : 15,454.44 = 6,419.15 : x
  2. Step 2: Convert to fraction form
    11,198.41/15,454.44 = 6,419.15/x
  3. Step 3: Cross multiply
    11,198.41x = 15,454.44 × 6,419.15
  4. Step 4: Simplify right side
    11,198.41x = 99,204,291.25
  5. Step 5: Solve for x
    x = 99,204,291.25/11,198.41
  6. Step 6: Final answer
    x = 8,858.79

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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.