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Finding the Fourth Proportional to 8,084.49, 11,151.05 and 4,942.23

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Solution

The fourth proportional to 8,084.49, 11,151.05 and 4,942.23 is: 6,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.49 : 11,151.05 = 4,942.23 : x
  2. Step 2: Convert to fraction form
    8,084.49/11,151.05 = 4,942.23/x
  3. Step 3: Cross multiply
    8,084.49x = 11,151.05 × 4,942.23
  4. Step 4: Simplify right side
    8,084.49x = 55,111,029.13
  5. Step 5: Solve for x
    x = 55,111,029.13/8,084.49
  6. Step 6: Final answer
    x = 6,816.88

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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.