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Finding the Fourth Proportional to 8,270.50, 11,413.32 and 4,544.50

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Solution

The fourth proportional to 8,270.50, 11,413.32 and 4,544.50 is: 6,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.50 : 11,413.32 = 4,544.50 : x
  2. Step 2: Convert to fraction form
    8,270.50/11,413.32 = 4,544.50/x
  3. Step 3: Cross multiply
    8,270.50x = 11,413.32 × 4,544.50
  4. Step 4: Simplify right side
    8,270.50x = 51,867,832.74
  5. Step 5: Solve for x
    x = 51,867,832.74/8,270.50
  6. Step 6: Final answer
    x = 6,271.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.