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Finding the Fourth Proportional to 10,274.70, 15,413.81 and 3,254.60

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Solution

The fourth proportional to 10,274.70, 15,413.81 and 3,254.60 is: 4,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.70 : 15,413.81 = 3,254.60 : x
  2. Step 2: Convert to fraction form
    10,274.70/15,413.81 = 3,254.60/x
  3. Step 3: Cross multiply
    10,274.70x = 15,413.81 × 3,254.60
  4. Step 4: Simplify right side
    10,274.70x = 50,165,692.68
  5. Step 5: Solve for x
    x = 50,165,692.68/10,274.70
  6. Step 6: Final answer
    x = 4,882.45

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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.