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Finding the Fourth Proportional to 8,277.50, 12,413.18 and 2,729.22

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Solution

The fourth proportional to 8,277.50, 12,413.18 and 2,729.22 is: 4,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.50 : 12,413.18 = 2,729.22 : x
  2. Step 2: Convert to fraction form
    8,277.50/12,413.18 = 2,729.22/x
  3. Step 3: Cross multiply
    8,277.50x = 12,413.18 × 2,729.22
  4. Step 4: Simplify right side
    8,277.50x = 33,878,299.12
  5. Step 5: Solve for x
    x = 33,878,299.12/8,277.50
  6. Step 6: Final answer
    x = 4,092.82

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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.