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Finding the Fourth Proportional to 7,610.40, 11,412.23 and 3,450.24

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Solution

The fourth proportional to 7,610.40, 11,412.23 and 3,450.24 is: 5,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.40 : 11,412.23 = 3,450.24 : x
  2. Step 2: Convert to fraction form
    7,610.40/11,412.23 = 3,450.24/x
  3. Step 3: Cross multiply
    7,610.40x = 11,412.23 × 3,450.24
  4. Step 4: Simplify right side
    7,610.40x = 39,374,932.44
  5. Step 5: Solve for x
    x = 39,374,932.44/7,610.40
  6. Step 6: Final answer
    x = 5,173.83

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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.