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Finding the Fourth Proportional to 11,777.85, 17,667.38 and 3,012.84

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Solution

The fourth proportional to 11,777.85, 17,667.38 and 3,012.84 is: 4,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.85 : 17,667.38 = 3,012.84 : x
  2. Step 2: Convert to fraction form
    11,777.85/17,667.38 = 3,012.84/x
  3. Step 3: Cross multiply
    11,777.85x = 17,667.38 × 3,012.84
  4. Step 4: Simplify right side
    11,777.85x = 53,228,974.10
  5. Step 5: Solve for x
    x = 53,228,974.10/11,777.85
  6. Step 6: Final answer
    x = 4,519.41

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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.