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Finding the Fourth Proportional to 7,832.60, 11,744.16 and 3,083.07

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Solution

The fourth proportional to 7,832.60, 11,744.16 and 3,083.07 is: 4,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.60 : 11,744.16 = 3,083.07 : x
  2. Step 2: Convert to fraction form
    7,832.60/11,744.16 = 3,083.07/x
  3. Step 3: Cross multiply
    7,832.60x = 11,744.16 × 3,083.07
  4. Step 4: Simplify right side
    7,832.60x = 36,208,067.37
  5. Step 5: Solve for x
    x = 36,208,067.37/7,832.60
  6. Step 6: Final answer
    x = 4,622.74

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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.