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Finding the Fourth Proportional to 7,745.74, 11,611.32 and 3,846.40

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Solution

The fourth proportional to 7,745.74, 11,611.32 and 3,846.40 is: 5,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.74 : 11,611.32 = 3,846.40 : x
  2. Step 2: Convert to fraction form
    7,745.74/11,611.32 = 3,846.40/x
  3. Step 3: Cross multiply
    7,745.74x = 11,611.32 × 3,846.40
  4. Step 4: Simplify right side
    7,745.74x = 44,661,781.25
  5. Step 5: Solve for x
    x = 44,661,781.25/7,745.74
  6. Step 6: Final answer
    x = 5,765.98

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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.