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Finding the Fourth Proportional to 8,164.14, 12,235.41 and 2,965.02

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Solution

The fourth proportional to 8,164.14, 12,235.41 and 2,965.02 is: 4,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.14 : 12,235.41 = 2,965.02 : x
  2. Step 2: Convert to fraction form
    8,164.14/12,235.41 = 2,965.02/x
  3. Step 3: Cross multiply
    8,164.14x = 12,235.41 × 2,965.02
  4. Step 4: Simplify right side
    8,164.14x = 36,278,235.36
  5. Step 5: Solve for x
    x = 36,278,235.36/8,164.14
  6. Step 6: Final answer
    x = 4,443.61

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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.