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Finding the Fourth Proportional to 7,847.78, 10,830.13 and 4,311.07

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Solution

The fourth proportional to 7,847.78, 10,830.13 and 4,311.07 is: 5,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.78 : 10,830.13 = 4,311.07 : x
  2. Step 2: Convert to fraction form
    7,847.78/10,830.13 = 4,311.07/x
  3. Step 3: Cross multiply
    7,847.78x = 10,830.13 × 4,311.07
  4. Step 4: Simplify right side
    7,847.78x = 46,689,448.54
  5. Step 5: Solve for x
    x = 46,689,448.54/7,847.78
  6. Step 6: Final answer
    x = 5,949.38

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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.