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Finding the Fourth Proportional to 8,278.45, 12,413.40 and 2,434.30

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Solution

The fourth proportional to 8,278.45, 12,413.40 and 2,434.30 is: 3,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.45 : 12,413.40 = 2,434.30 : x
  2. Step 2: Convert to fraction form
    8,278.45/12,413.40 = 2,434.30/x
  3. Step 3: Cross multiply
    8,278.45x = 12,413.40 × 2,434.30
  4. Step 4: Simplify right side
    8,278.45x = 30,217,939.62
  5. Step 5: Solve for x
    x = 30,217,939.62/8,278.45
  6. Step 6: Final answer
    x = 3,650.19

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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.