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Finding the Fourth Proportional to 11,449.71, 17,206.83 and 6,771.92

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Solution

The fourth proportional to 11,449.71, 17,206.83 and 6,771.92 is: 10,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.71 : 17,206.83 = 6,771.92 : x
  2. Step 2: Convert to fraction form
    11,449.71/17,206.83 = 6,771.92/x
  3. Step 3: Cross multiply
    11,449.71x = 17,206.83 × 6,771.92
  4. Step 4: Simplify right side
    11,449.71x = 116,523,190.18
  5. Step 5: Solve for x
    x = 116,523,190.18/11,449.71
  6. Step 6: Final answer
    x = 10,176.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.