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Finding the Fourth Proportional to 8,043.49, 12,048.63 and 5,965.84

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Solution

The fourth proportional to 8,043.49, 12,048.63 and 5,965.84 is: 8,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.49 : 12,048.63 = 5,965.84 : x
  2. Step 2: Convert to fraction form
    8,043.49/12,048.63 = 5,965.84/x
  3. Step 3: Cross multiply
    8,043.49x = 12,048.63 × 5,965.84
  4. Step 4: Simplify right side
    8,043.49x = 71,880,198.80
  5. Step 5: Solve for x
    x = 71,880,198.80/8,043.49
  6. Step 6: Final answer
    x = 8,936.44

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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.