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Finding the Fourth Proportional to 11,647.20, 16,072.63 and 6,342.02

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Solution

The fourth proportional to 11,647.20, 16,072.63 and 6,342.02 is: 8,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.20 : 16,072.63 = 6,342.02 : x
  2. Step 2: Convert to fraction form
    11,647.20/16,072.63 = 6,342.02/x
  3. Step 3: Cross multiply
    11,647.20x = 16,072.63 × 6,342.02
  4. Step 4: Simplify right side
    11,647.20x = 101,932,940.91
  5. Step 5: Solve for x
    x = 101,932,940.91/11,647.20
  6. Step 6: Final answer
    x = 8,751.71

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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.