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Finding the Fourth Proportional to 8,150.46, 12,224.25 and 2,305.70

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Solution

The fourth proportional to 8,150.46, 12,224.25 and 2,305.70 is: 3,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.46 : 12,224.25 = 2,305.70 : x
  2. Step 2: Convert to fraction form
    8,150.46/12,224.25 = 2,305.70/x
  3. Step 3: Cross multiply
    8,150.46x = 12,224.25 × 2,305.70
  4. Step 4: Simplify right side
    8,150.46x = 28,185,453.23
  5. Step 5: Solve for x
    x = 28,185,453.23/8,150.46
  6. Step 6: Final answer
    x = 3,458.14

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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.