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Finding the Fourth Proportional to 8,351.94, 12,508.04 and 4,834.54

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Solution

The fourth proportional to 8,351.94, 12,508.04 and 4,834.54 is: 7,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.94 : 12,508.04 = 4,834.54 : x
  2. Step 2: Convert to fraction form
    8,351.94/12,508.04 = 4,834.54/x
  3. Step 3: Cross multiply
    8,351.94x = 12,508.04 × 4,834.54
  4. Step 4: Simplify right side
    8,351.94x = 60,470,619.70
  5. Step 5: Solve for x
    x = 60,470,619.70/8,351.94
  6. Step 6: Final answer
    x = 7,240.31

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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.