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Finding the Fourth Proportional to 8,129.01, 12,194.32 and 2,205.98

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Solution

The fourth proportional to 8,129.01, 12,194.32 and 2,205.98 is: 3,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.01 : 12,194.32 = 2,205.98 : x
  2. Step 2: Convert to fraction form
    8,129.01/12,194.32 = 2,205.98/x
  3. Step 3: Cross multiply
    8,129.01x = 12,194.32 × 2,205.98
  4. Step 4: Simplify right side
    8,129.01x = 26,900,415.00
  5. Step 5: Solve for x
    x = 26,900,415.00/8,129.01
  6. Step 6: Final answer
    x = 3,309.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.