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Finding the Fourth Proportional to 8,413.44, 12,618.72 and 2,256

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Solution

The fourth proportional to 8,413.44, 12,618.72 and 2,256 is: 3,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.44 : 12,618.72 = 2,256 : x
  2. Step 2: Convert to fraction form
    8,413.44/12,618.72 = 2,256/x
  3. Step 3: Cross multiply
    8,413.44x = 12,618.72 × 2,256
  4. Step 4: Simplify right side
    8,413.44x = 28,467,832.32
  5. Step 5: Solve for x
    x = 28,467,832.32/8,413.44
  6. Step 6: Final answer
    x = 3,383.61

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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.