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Finding the Fourth Proportional to 11,230.32, 15,497.71 and 6,194.75

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Solution

The fourth proportional to 11,230.32, 15,497.71 and 6,194.75 is: 8,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.32 : 15,497.71 = 6,194.75 : x
  2. Step 2: Convert to fraction form
    11,230.32/15,497.71 = 6,194.75/x
  3. Step 3: Cross multiply
    11,230.32x = 15,497.71 × 6,194.75
  4. Step 4: Simplify right side
    11,230.32x = 96,004,400.28
  5. Step 5: Solve for x
    x = 96,004,400.28/11,230.32
  6. Step 6: Final answer
    x = 8,548.68

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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.