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Finding the Fourth Proportional to 7,829.37, 11,744.22 and 2,635.23

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Solution

The fourth proportional to 7,829.37, 11,744.22 and 2,635.23 is: 3,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.37 : 11,744.22 = 2,635.23 : x
  2. Step 2: Convert to fraction form
    7,829.37/11,744.22 = 2,635.23/x
  3. Step 3: Cross multiply
    7,829.37x = 11,744.22 × 2,635.23
  4. Step 4: Simplify right side
    7,829.37x = 30,948,720.87
  5. Step 5: Solve for x
    x = 30,948,720.87/7,829.37
  6. Step 6: Final answer
    x = 3,952.90

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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.