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Finding the Fourth Proportional to 10,274.30, 15,413.70 and 4,034.30

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Solution

The fourth proportional to 10,274.30, 15,413.70 and 4,034.30 is: 6,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.30 : 15,413.70 = 4,034.30 : x
  2. Step 2: Convert to fraction form
    10,274.30/15,413.70 = 4,034.30/x
  3. Step 3: Cross multiply
    10,274.30x = 15,413.70 × 4,034.30
  4. Step 4: Simplify right side
    10,274.30x = 62,183,489.91
  5. Step 5: Solve for x
    x = 62,183,489.91/10,274.30
  6. Step 6: Final answer
    x = 6,052.33

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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.