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Finding the Fourth Proportional to 8,119.63, 12,179.45 and 1,963.63

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Solution

The fourth proportional to 8,119.63, 12,179.45 and 1,963.63 is: 2,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.63 : 12,179.45 = 1,963.63 : x
  2. Step 2: Convert to fraction form
    8,119.63/12,179.45 = 1,963.63/x
  3. Step 3: Cross multiply
    8,119.63x = 12,179.45 × 1,963.63
  4. Step 4: Simplify right side
    8,119.63x = 23,915,933.40
  5. Step 5: Solve for x
    x = 23,915,933.40/8,119.63
  6. Step 6: Final answer
    x = 2,945.45

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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.