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Finding the Fourth Proportional to 6,012.80, 8,294.64 and 4,023.44

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Solution

The fourth proportional to 6,012.80, 8,294.64 and 4,023.44 is: 5,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.80 : 8,294.64 = 4,023.44 : x
  2. Step 2: Convert to fraction form
    6,012.80/8,294.64 = 4,023.44/x
  3. Step 3: Cross multiply
    6,012.80x = 8,294.64 × 4,023.44
  4. Step 4: Simplify right side
    6,012.80x = 33,372,986.36
  5. Step 5: Solve for x
    x = 33,372,986.36/6,012.80
  6. Step 6: Final answer
    x = 5,550.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.