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Finding the Fourth Proportional to 11,230.20, 15,497.76 and 6,194.56

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Solution

The fourth proportional to 11,230.20, 15,497.76 and 6,194.56 is: 8,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.20 : 15,497.76 = 6,194.56 : x
  2. Step 2: Convert to fraction form
    11,230.20/15,497.76 = 6,194.56/x
  3. Step 3: Cross multiply
    11,230.20x = 15,497.76 × 6,194.56
  4. Step 4: Simplify right side
    11,230.20x = 96,001,773.21
  5. Step 5: Solve for x
    x = 96,001,773.21/11,230.20
  6. Step 6: Final answer
    x = 8,548.54

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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.