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Finding the Fourth Proportional to 11,620.32, 16,034.40 and 6,906.48

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Solution

The fourth proportional to 11,620.32, 16,034.40 and 6,906.48 is: 9,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.32 : 16,034.40 = 6,906.48 : x
  2. Step 2: Convert to fraction form
    11,620.32/16,034.40 = 6,906.48/x
  3. Step 3: Cross multiply
    11,620.32x = 16,034.40 × 6,906.48
  4. Step 4: Simplify right side
    11,620.32x = 110,741,262.91
  5. Step 5: Solve for x
    x = 110,741,262.91/11,620.32
  6. Step 6: Final answer
    x = 9,529.97

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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.