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Finding the Fourth Proportional to 8,270.94, 11,423.79 and 6,029.22

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Solution

The fourth proportional to 8,270.94, 11,423.79 and 6,029.22 is: 8,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.94 : 11,423.79 = 6,029.22 : x
  2. Step 2: Convert to fraction form
    8,270.94/11,423.79 = 6,029.22/x
  3. Step 3: Cross multiply
    8,270.94x = 11,423.79 × 6,029.22
  4. Step 4: Simplify right side
    8,270.94x = 68,876,543.14
  5. Step 5: Solve for x
    x = 68,876,543.14/8,270.94
  6. Step 6: Final answer
    x = 8,327.54

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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.