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Finding the Fourth Proportional to 7,745.39, 11,611.60 and 5,398.51

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Solution

The fourth proportional to 7,745.39, 11,611.60 and 5,398.51 is: 8,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.39 : 11,611.60 = 5,398.51 : x
  2. Step 2: Convert to fraction form
    7,745.39/11,611.60 = 5,398.51/x
  3. Step 3: Cross multiply
    7,745.39x = 11,611.60 × 5,398.51
  4. Step 4: Simplify right side
    7,745.39x = 62,685,338.72
  5. Step 5: Solve for x
    x = 62,685,338.72/7,745.39
  6. Step 6: Final answer
    x = 8,093.24

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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.