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Finding the Fourth Proportional to 7,413.94, 11,124 and 3,251.80

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Solution

The fourth proportional to 7,413.94, 11,124 and 3,251.80 is: 4,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.94 : 11,124 = 3,251.80 : x
  2. Step 2: Convert to fraction form
    7,413.94/11,124 = 3,251.80/x
  3. Step 3: Cross multiply
    7,413.94x = 11,124 × 3,251.80
  4. Step 4: Simplify right side
    7,413.94x = 36,173,023.20
  5. Step 5: Solve for x
    x = 36,173,023.20/7,413.94
  6. Step 6: Final answer
    x = 4,879.06

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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.