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Finding the Fourth Proportional to 11,194.49, 15,447.79 and 6,157.90

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Solution

The fourth proportional to 11,194.49, 15,447.79 and 6,157.90 is: 8,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.49 : 15,447.79 = 6,157.90 : x
  2. Step 2: Convert to fraction form
    11,194.49/15,447.79 = 6,157.90/x
  3. Step 3: Cross multiply
    11,194.49x = 15,447.79 × 6,157.90
  4. Step 4: Simplify right side
    11,194.49x = 95,125,838.01
  5. Step 5: Solve for x
    x = 95,125,838.01/11,194.49
  6. Step 6: Final answer
    x = 8,497.56

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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.