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Finding the Fourth Proportional to 8,275.28, 12,413.24 and 2,431.76

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Solution

The fourth proportional to 8,275.28, 12,413.24 and 2,431.76 is: 3,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.28 : 12,413.24 = 2,431.76 : x
  2. Step 2: Convert to fraction form
    8,275.28/12,413.24 = 2,431.76/x
  3. Step 3: Cross multiply
    8,275.28x = 12,413.24 × 2,431.76
  4. Step 4: Simplify right side
    8,275.28x = 30,186,020.50
  5. Step 5: Solve for x
    x = 30,186,020.50/8,275.28
  6. Step 6: Final answer
    x = 3,647.73

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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.