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Finding the Fourth Proportional to 8,583.94, 12,863.67 and 5,074.66

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Solution

The fourth proportional to 8,583.94, 12,863.67 and 5,074.66 is: 7,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.94 : 12,863.67 = 5,074.66 : x
  2. Step 2: Convert to fraction form
    8,583.94/12,863.67 = 5,074.66/x
  3. Step 3: Cross multiply
    8,583.94x = 12,863.67 × 5,074.66
  4. Step 4: Simplify right side
    8,583.94x = 65,278,751.60
  5. Step 5: Solve for x
    x = 65,278,751.60/8,583.94
  6. Step 6: Final answer
    x = 7,604.75

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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.