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Finding the Fourth Proportional to 11,841.84, 16,353.80 and 8,310.96

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Solution

The fourth proportional to 11,841.84, 16,353.80 and 8,310.96 is: 11,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.84 : 16,353.80 = 8,310.96 : x
  2. Step 2: Convert to fraction form
    11,841.84/16,353.80 = 8,310.96/x
  3. Step 3: Cross multiply
    11,841.84x = 16,353.80 × 8,310.96
  4. Step 4: Simplify right side
    11,841.84x = 135,915,777.65
  5. Step 5: Solve for x
    x = 135,915,777.65/11,841.84
  6. Step 6: Final answer
    x = 11,477.59

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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.