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Finding the Fourth Proportional to 10,942.86, 15,099.39 and 6,227.22

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Solution

The fourth proportional to 10,942.86, 15,099.39 and 6,227.22 is: 8,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.86 : 15,099.39 = 6,227.22 : x
  2. Step 2: Convert to fraction form
    10,942.86/15,099.39 = 6,227.22/x
  3. Step 3: Cross multiply
    10,942.86x = 15,099.39 × 6,227.22
  4. Step 4: Simplify right side
    10,942.86x = 94,027,223.40
  5. Step 5: Solve for x
    x = 94,027,223.40/10,942.86
  6. Step 6: Final answer
    x = 8,592.56

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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.