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Finding the Fourth Proportional to 8,274.46, 12,413.75 and 2,431.07

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Solution

The fourth proportional to 8,274.46, 12,413.75 and 2,431.07 is: 3,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.46 : 12,413.75 = 2,431.07 : x
  2. Step 2: Convert to fraction form
    8,274.46/12,413.75 = 2,431.07/x
  3. Step 3: Cross multiply
    8,274.46x = 12,413.75 × 2,431.07
  4. Step 4: Simplify right side
    8,274.46x = 30,178,620.99
  5. Step 5: Solve for x
    x = 30,178,620.99/8,274.46
  6. Step 6: Final answer
    x = 3,647.20

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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.