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Finding the Fourth Proportional to 11,794.46, 16,275.96 and 6,489.23

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Solution

The fourth proportional to 11,794.46, 16,275.96 and 6,489.23 is: 8,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.46 : 16,275.96 = 6,489.23 : x
  2. Step 2: Convert to fraction form
    11,794.46/16,275.96 = 6,489.23/x
  3. Step 3: Cross multiply
    11,794.46x = 16,275.96 × 6,489.23
  4. Step 4: Simplify right side
    11,794.46x = 105,618,447.91
  5. Step 5: Solve for x
    x = 105,618,447.91/11,794.46
  6. Step 6: Final answer
    x = 8,954.92

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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.