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Finding the Fourth Proportional to 6,774.26, 10,166.26 and 4,179.02

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Solution

The fourth proportional to 6,774.26, 10,166.26 and 4,179.02 is: 6,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.26 : 10,166.26 = 4,179.02 : x
  2. Step 2: Convert to fraction form
    6,774.26/10,166.26 = 4,179.02/x
  3. Step 3: Cross multiply
    6,774.26x = 10,166.26 × 4,179.02
  4. Step 4: Simplify right side
    6,774.26x = 42,485,003.87
  5. Step 5: Solve for x
    x = 42,485,003.87/6,774.26
  6. Step 6: Final answer
    x = 6,271.53

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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.