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Finding the Fourth Proportional to 6,782.08, 10,179.60 and 4,190.08

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Solution

The fourth proportional to 6,782.08, 10,179.60 and 4,190.08 is: 6,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.08 : 10,179.60 = 4,190.08 : x
  2. Step 2: Convert to fraction form
    6,782.08/10,179.60 = 4,190.08/x
  3. Step 3: Cross multiply
    6,782.08x = 10,179.60 × 4,190.08
  4. Step 4: Simplify right side
    6,782.08x = 42,653,338.37
  5. Step 5: Solve for x
    x = 42,653,338.37/6,782.08
  6. Step 6: Final answer
    x = 6,289.12

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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.