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Finding the Fourth Proportional to 8,961.03, 13,413.80 and 8,195.58

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Solution

The fourth proportional to 8,961.03, 13,413.80 and 8,195.58 is: 12,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.03 : 13,413.80 = 8,195.58 : x
  2. Step 2: Convert to fraction form
    8,961.03/13,413.80 = 8,195.58/x
  3. Step 3: Cross multiply
    8,961.03x = 13,413.80 × 8,195.58
  4. Step 4: Simplify right side
    8,961.03x = 109,933,891.49
  5. Step 5: Solve for x
    x = 109,933,891.49/8,961.03
  6. Step 6: Final answer
    x = 12,268.00

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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.