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Finding the Fourth Proportional to 7,847.78, 10,830.17 and 4,311.23

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Solution

The fourth proportional to 7,847.78, 10,830.17 and 4,311.23 is: 5,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.78 : 10,830.17 = 4,311.23 : x
  2. Step 2: Convert to fraction form
    7,847.78/10,830.17 = 4,311.23/x
  3. Step 3: Cross multiply
    7,847.78x = 10,830.17 × 4,311.23
  4. Step 4: Simplify right side
    7,847.78x = 46,691,278.10
  5. Step 5: Solve for x
    x = 46,691,278.10/7,847.78
  6. Step 6: Final answer
    x = 5,949.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.