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Finding the Fourth Proportional to 11,777.46, 17,667 and 3,986.34

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Solution

The fourth proportional to 11,777.46, 17,667 and 3,986.34 is: 5,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.46 : 17,667 = 3,986.34 : x
  2. Step 2: Convert to fraction form
    11,777.46/17,667 = 3,986.34/x
  3. Step 3: Cross multiply
    11,777.46x = 17,667 × 3,986.34
  4. Step 4: Simplify right side
    11,777.46x = 70,426,668.78
  5. Step 5: Solve for x
    x = 70,426,668.78/11,777.46
  6. Step 6: Final answer
    x = 5,979.78

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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.