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Finding the Fourth Proportional to 11,739.12, 16,197.72 and 7,546.80

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Solution

The fourth proportional to 11,739.12, 16,197.72 and 7,546.80 is: 10,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.12 : 16,197.72 = 7,546.80 : x
  2. Step 2: Convert to fraction form
    11,739.12/16,197.72 = 7,546.80/x
  3. Step 3: Cross multiply
    11,739.12x = 16,197.72 × 7,546.80
  4. Step 4: Simplify right side
    11,739.12x = 122,240,953.30
  5. Step 5: Solve for x
    x = 122,240,953.30/11,739.12
  6. Step 6: Final answer
    x = 10,413.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.