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Finding the Fourth Proportional to 11,230.25, 15,497.85 and 6,194.64

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Solution

The fourth proportional to 11,230.25, 15,497.85 and 6,194.64 is: 8,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.25 : 15,497.85 = 6,194.64 : x
  2. Step 2: Convert to fraction form
    11,230.25/15,497.85 = 6,194.64/x
  3. Step 3: Cross multiply
    11,230.25x = 15,497.85 × 6,194.64
  4. Step 4: Simplify right side
    11,230.25x = 96,003,601.52
  5. Step 5: Solve for x
    x = 96,003,601.52/11,230.25
  6. Step 6: Final answer
    x = 8,548.66

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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.