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Finding the Fourth Proportional to 7,906.20, 11,858.00 and 3,465.78

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Solution

The fourth proportional to 7,906.20, 11,858.00 and 3,465.78 is: 5,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.20 : 11,858.00 = 3,465.78 : x
  2. Step 2: Convert to fraction form
    7,906.20/11,858.00 = 3,465.78/x
  3. Step 3: Cross multiply
    7,906.20x = 11,858.00 × 3,465.78
  4. Step 4: Simplify right side
    7,906.20x = 41,097,201.91
  5. Step 5: Solve for x
    x = 41,097,201.91/7,906.20
  6. Step 6: Final answer
    x = 5,198.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.