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Finding the Fourth Proportional to 7,563.50, 11,351.40 and 3,667.90

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Solution

The fourth proportional to 7,563.50, 11,351.40 and 3,667.90 is: 5,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.50 : 11,351.40 = 3,667.90 : x
  2. Step 2: Convert to fraction form
    7,563.50/11,351.40 = 3,667.90/x
  3. Step 3: Cross multiply
    7,563.50x = 11,351.40 × 3,667.90
  4. Step 4: Simplify right side
    7,563.50x = 41,635,800.06
  5. Step 5: Solve for x
    x = 41,635,800.06/7,563.50
  6. Step 6: Final answer
    x = 5,504.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.