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Finding the Fourth Proportional to 7,667.10, 11,504.88 and 3,771.54

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Solution

The fourth proportional to 7,667.10, 11,504.88 and 3,771.54 is: 5,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.10 : 11,504.88 = 3,771.54 : x
  2. Step 2: Convert to fraction form
    7,667.10/11,504.88 = 3,771.54/x
  3. Step 3: Cross multiply
    7,667.10x = 11,504.88 × 3,771.54
  4. Step 4: Simplify right side
    7,667.10x = 43,391,115.12
  5. Step 5: Solve for x
    x = 43,391,115.12/7,667.10
  6. Step 6: Final answer
    x = 5,659.39

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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.