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Finding the Fourth Proportional to 11,777.37, 17,667.58 and 3,880.69

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Solution

The fourth proportional to 11,777.37, 17,667.58 and 3,880.69 is: 5,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.37 : 17,667.58 = 3,880.69 : x
  2. Step 2: Convert to fraction form
    11,777.37/17,667.58 = 3,880.69/x
  3. Step 3: Cross multiply
    11,777.37x = 17,667.58 × 3,880.69
  4. Step 4: Simplify right side
    11,777.37x = 68,562,401.03
  5. Step 5: Solve for x
    x = 68,562,401.03/11,777.37
  6. Step 6: Final answer
    x = 5,821.54

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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.