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Finding the Fourth Proportional to 7,771.14, 11,654.82 and 3,874.64

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Solution

The fourth proportional to 7,771.14, 11,654.82 and 3,874.64 is: 5,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.14 : 11,654.82 = 3,874.64 : x
  2. Step 2: Convert to fraction form
    7,771.14/11,654.82 = 3,874.64/x
  3. Step 3: Cross multiply
    7,771.14x = 11,654.82 × 3,874.64
  4. Step 4: Simplify right side
    7,771.14x = 45,158,173.49
  5. Step 5: Solve for x
    x = 45,158,173.49/7,771.14
  6. Step 6: Final answer
    x = 5,811.01

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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.