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Finding the Fourth Proportional to 7,744.32, 11,608.50 and 3,062.43

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Solution

The fourth proportional to 7,744.32, 11,608.50 and 3,062.43 is: 4,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.32 : 11,608.50 = 3,062.43 : x
  2. Step 2: Convert to fraction form
    7,744.32/11,608.50 = 3,062.43/x
  3. Step 3: Cross multiply
    7,744.32x = 11,608.50 × 3,062.43
  4. Step 4: Simplify right side
    7,744.32x = 35,550,218.66
  5. Step 5: Solve for x
    x = 35,550,218.66/7,744.32
  6. Step 6: Final answer
    x = 4,590.49

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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.