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Finding the Fourth Proportional to 7,963.22, 11,946.24 and 3,033.32

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Solution

The fourth proportional to 7,963.22, 11,946.24 and 3,033.32 is: 4,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.22 : 11,946.24 = 3,033.32 : x
  2. Step 2: Convert to fraction form
    7,963.22/11,946.24 = 3,033.32/x
  3. Step 3: Cross multiply
    7,963.22x = 11,946.24 × 3,033.32
  4. Step 4: Simplify right side
    7,963.22x = 36,236,768.72
  5. Step 5: Solve for x
    x = 36,236,768.72/7,963.22
  6. Step 6: Final answer
    x = 4,550.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.