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Finding the Fourth Proportional to 11,230.41, 15,497.85 and 6,194.82

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Solution

The fourth proportional to 11,230.41, 15,497.85 and 6,194.82 is: 8,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.41 : 15,497.85 = 6,194.82 : x
  2. Step 2: Convert to fraction form
    11,230.41/15,497.85 = 6,194.82/x
  3. Step 3: Cross multiply
    11,230.41x = 15,497.85 × 6,194.82
  4. Step 4: Simplify right side
    11,230.41x = 96,006,391.14
  5. Step 5: Solve for x
    x = 96,006,391.14/11,230.41
  6. Step 6: Final answer
    x = 8,548.79

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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.