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Finding the Fourth Proportional to 8,277.50, 12,413.82 and 2,432.72

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Solution

The fourth proportional to 8,277.50, 12,413.82 and 2,432.72 is: 3,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.50 : 12,413.82 = 2,432.72 : x
  2. Step 2: Convert to fraction form
    8,277.50/12,413.82 = 2,432.72/x
  3. Step 3: Cross multiply
    8,277.50x = 12,413.82 × 2,432.72
  4. Step 4: Simplify right side
    8,277.50x = 30,199,348.19
  5. Step 5: Solve for x
    x = 30,199,348.19/8,277.50
  6. Step 6: Final answer
    x = 3,648.37

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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.