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Finding the Fourth Proportional to 11,771.68, 17,657.92 and 3,768.06

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Solution

The fourth proportional to 11,771.68, 17,657.92 and 3,768.06 is: 5,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.68 : 17,657.92 = 3,768.06 : x
  2. Step 2: Convert to fraction form
    11,771.68/17,657.92 = 3,768.06/x
  3. Step 3: Cross multiply
    11,771.68x = 17,657.92 × 3,768.06
  4. Step 4: Simplify right side
    11,771.68x = 66,536,102.04
  5. Step 5: Solve for x
    x = 66,536,102.04/11,771.68
  6. Step 6: Final answer
    x = 5,652.22

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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.