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Finding the Fourth Proportional to 10,274.41, 15,413.52 and 3,256.20

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Solution

The fourth proportional to 10,274.41, 15,413.52 and 3,256.20 is: 4,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.41 : 15,413.52 = 3,256.20 : x
  2. Step 2: Convert to fraction form
    10,274.41/15,413.52 = 3,256.20/x
  3. Step 3: Cross multiply
    10,274.41x = 15,413.52 × 3,256.20
  4. Step 4: Simplify right side
    10,274.41x = 50,189,503.82
  5. Step 5: Solve for x
    x = 50,189,503.82/10,274.41
  6. Step 6: Final answer
    x = 4,884.90

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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.