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Finding the Fourth Proportional to 8,413.56, 12,601.14 and 4,034.16

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Solution

The fourth proportional to 8,413.56, 12,601.14 and 4,034.16 is: 6,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.56 : 12,601.14 = 4,034.16 : x
  2. Step 2: Convert to fraction form
    8,413.56/12,601.14 = 4,034.16/x
  3. Step 3: Cross multiply
    8,413.56x = 12,601.14 × 4,034.16
  4. Step 4: Simplify right side
    8,413.56x = 50,835,014.94
  5. Step 5: Solve for x
    x = 50,835,014.94/8,413.56
  6. Step 6: Final answer
    x = 6,042.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.