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Finding the Fourth Proportional to 7,821.14, 10,793.22 and 4,284.38

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Solution

The fourth proportional to 7,821.14, 10,793.22 and 4,284.38 is: 5,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.14 : 10,793.22 = 4,284.38 : x
  2. Step 2: Convert to fraction form
    7,821.14/10,793.22 = 4,284.38/x
  3. Step 3: Cross multiply
    7,821.14x = 10,793.22 × 4,284.38
  4. Step 4: Simplify right side
    7,821.14x = 46,242,255.90
  5. Step 5: Solve for x
    x = 46,242,255.90/7,821.14
  6. Step 6: Final answer
    x = 5,912.47

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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.