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Finding the Fourth Proportional to 11,194.49, 15,448.39 and 6,478.76

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Solution

The fourth proportional to 11,194.49, 15,448.39 and 6,478.76 is: 8,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.49 : 15,448.39 = 6,478.76 : x
  2. Step 2: Convert to fraction form
    11,194.49/15,448.39 = 6,478.76/x
  3. Step 3: Cross multiply
    11,194.49x = 15,448.39 × 6,478.76
  4. Step 4: Simplify right side
    11,194.49x = 100,086,433.62
  5. Step 5: Solve for x
    x = 100,086,433.62/11,194.49
  6. Step 6: Final answer
    x = 8,940.69

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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.