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Finding the Fourth Proportional to 7,863.42, 10,847.88 and 5,029.44

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Solution

The fourth proportional to 7,863.42, 10,847.88 and 5,029.44 is: 6,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.42 : 10,847.88 = 5,029.44 : x
  2. Step 2: Convert to fraction form
    7,863.42/10,847.88 = 5,029.44/x
  3. Step 3: Cross multiply
    7,863.42x = 10,847.88 × 5,029.44
  4. Step 4: Simplify right side
    7,863.42x = 54,558,761.59
  5. Step 5: Solve for x
    x = 54,558,761.59/7,863.42
  6. Step 6: Final answer
    x = 6,938.30

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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.