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Finding the Fourth Proportional to 8,405.10, 12,604.94 and 2,781.72

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Solution

The fourth proportional to 8,405.10, 12,604.94 and 2,781.72 is: 4,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.10 : 12,604.94 = 2,781.72 : x
  2. Step 2: Convert to fraction form
    8,405.10/12,604.94 = 2,781.72/x
  3. Step 3: Cross multiply
    8,405.10x = 12,604.94 × 2,781.72
  4. Step 4: Simplify right side
    8,405.10x = 35,063,413.70
  5. Step 5: Solve for x
    x = 35,063,413.70/8,405.10
  6. Step 6: Final answer
    x = 4,171.68

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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.