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Finding the Fourth Proportional to 11,162.25, 15,404.09 and 6,194.25

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Solution

The fourth proportional to 11,162.25, 15,404.09 and 6,194.25 is: 8,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.25 : 15,404.09 = 6,194.25 : x
  2. Step 2: Convert to fraction form
    11,162.25/15,404.09 = 6,194.25/x
  3. Step 3: Cross multiply
    11,162.25x = 15,404.09 × 6,194.25
  4. Step 4: Simplify right side
    11,162.25x = 95,416,753.51
  5. Step 5: Solve for x
    x = 95,416,753.51/11,162.25
  6. Step 6: Final answer
    x = 8,548.16

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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.