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Finding the Fourth Proportional to 8,290.23, 12,438.99 and 2,744.37

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Solution

The fourth proportional to 8,290.23, 12,438.99 and 2,744.37 is: 4,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.23 : 12,438.99 = 2,744.37 : x
  2. Step 2: Convert to fraction form
    8,290.23/12,438.99 = 2,744.37/x
  3. Step 3: Cross multiply
    8,290.23x = 12,438.99 × 2,744.37
  4. Step 4: Simplify right side
    8,290.23x = 34,137,190.99
  5. Step 5: Solve for x
    x = 34,137,190.99/8,290.23
  6. Step 6: Final answer
    x = 4,117.76

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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.