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Finding the Fourth Proportional to 10,413.42, 15,620.31 and 3,836.22

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Solution

The fourth proportional to 10,413.42, 15,620.31 and 3,836.22 is: 5,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.42 : 15,620.31 = 3,836.22 : x
  2. Step 2: Convert to fraction form
    10,413.42/15,620.31 = 3,836.22/x
  3. Step 3: Cross multiply
    10,413.42x = 15,620.31 × 3,836.22
  4. Step 4: Simplify right side
    10,413.42x = 59,922,945.63
  5. Step 5: Solve for x
    x = 59,922,945.63/10,413.42
  6. Step 6: Final answer
    x = 5,754.40

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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.