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Finding the Fourth Proportional to 7,674.45, 11,512.99 and 2,408.45

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Solution

The fourth proportional to 7,674.45, 11,512.99 and 2,408.45 is: 3,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.45 : 11,512.99 = 2,408.45 : x
  2. Step 2: Convert to fraction form
    7,674.45/11,512.99 = 2,408.45/x
  3. Step 3: Cross multiply
    7,674.45x = 11,512.99 × 2,408.45
  4. Step 4: Simplify right side
    7,674.45x = 27,728,460.77
  5. Step 5: Solve for x
    x = 27,728,460.77/7,674.45
  6. Step 6: Final answer
    x = 3,613.09

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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.