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Finding the Fourth Proportional to 11,194.25, 15,448.19 and 6,414.09

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Solution

The fourth proportional to 11,194.25, 15,448.19 and 6,414.09 is: 8,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.25 : 15,448.19 = 6,414.09 : x
  2. Step 2: Convert to fraction form
    11,194.25/15,448.19 = 6,414.09/x
  3. Step 3: Cross multiply
    11,194.25x = 15,448.19 × 6,414.09
  4. Step 4: Simplify right side
    11,194.25x = 99,086,130.91
  5. Step 5: Solve for x
    x = 99,086,130.91/11,194.25
  6. Step 6: Final answer
    x = 8,851.52

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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.