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Finding the Fourth Proportional to 11,768.86, 17,651.35 and 3,871.48

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Solution

The fourth proportional to 11,768.86, 17,651.35 and 3,871.48 is: 5,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.86 : 17,651.35 = 3,871.48 : x
  2. Step 2: Convert to fraction form
    11,768.86/17,651.35 = 3,871.48/x
  3. Step 3: Cross multiply
    11,768.86x = 17,651.35 × 3,871.48
  4. Step 4: Simplify right side
    11,768.86x = 68,336,740.88
  5. Step 5: Solve for x
    x = 68,336,740.88/11,768.86
  6. Step 6: Final answer
    x = 5,806.57

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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.