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Finding the Fourth Proportional to 11,799.10, 16,282.87 and 6,494.04

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Solution

The fourth proportional to 11,799.10, 16,282.87 and 6,494.04 is: 8,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.10 : 16,282.87 = 6,494.04 : x
  2. Step 2: Convert to fraction form
    11,799.10/16,282.87 = 6,494.04/x
  3. Step 3: Cross multiply
    11,799.10x = 16,282.87 × 6,494.04
  4. Step 4: Simplify right side
    11,799.10x = 105,741,609.09
  5. Step 5: Solve for x
    x = 105,741,609.09/11,799.10
  6. Step 6: Final answer
    x = 8,961.84

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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.