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Finding the Fourth Proportional to 7,863.23, 10,855.87 and 4,880.71

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Solution

The fourth proportional to 7,863.23, 10,855.87 and 4,880.71 is: 6,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.23 : 10,855.87 = 4,880.71 : x
  2. Step 2: Convert to fraction form
    7,863.23/10,855.87 = 4,880.71/x
  3. Step 3: Cross multiply
    7,863.23x = 10,855.87 × 4,880.71
  4. Step 4: Simplify right side
    7,863.23x = 52,984,321.03
  5. Step 5: Solve for x
    x = 52,984,321.03/7,863.23
  6. Step 6: Final answer
    x = 6,738.24

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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.