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Finding the Fourth Proportional to 7,744.60, 11,618.52 and 2,408.32

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Solution

The fourth proportional to 7,744.60, 11,618.52 and 2,408.32 is: 3,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.60 : 11,618.52 = 2,408.32 : x
  2. Step 2: Convert to fraction form
    7,744.60/11,618.52 = 2,408.32/x
  3. Step 3: Cross multiply
    7,744.60x = 11,618.52 × 2,408.32
  4. Step 4: Simplify right side
    7,744.60x = 27,981,114.09
  5. Step 5: Solve for x
    x = 27,981,114.09/7,744.60
  6. Step 6: Final answer
    x = 3,612.98

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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.