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Finding the Fourth Proportional to 7,608.54, 11,416.44 and 3,449.82

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Solution

The fourth proportional to 7,608.54, 11,416.44 and 3,449.82 is: 5,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.54 : 11,416.44 = 3,449.82 : x
  2. Step 2: Convert to fraction form
    7,608.54/11,416.44 = 3,449.82/x
  3. Step 3: Cross multiply
    7,608.54x = 11,416.44 × 3,449.82
  4. Step 4: Simplify right side
    7,608.54x = 39,384,663.04
  5. Step 5: Solve for x
    x = 39,384,663.04/7,608.54
  6. Step 6: Final answer
    x = 5,176.38

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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.