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Finding the Fourth Proportional to 6,202.08, 8,531.22 and 5,442.12

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Solution

The fourth proportional to 6,202.08, 8,531.22 and 5,442.12 is: 7,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.08 : 8,531.22 = 5,442.12 : x
  2. Step 2: Convert to fraction form
    6,202.08/8,531.22 = 5,442.12/x
  3. Step 3: Cross multiply
    6,202.08x = 8,531.22 × 5,442.12
  4. Step 4: Simplify right side
    6,202.08x = 46,427,922.99
  5. Step 5: Solve for x
    x = 46,427,922.99/6,202.08
  6. Step 6: Final answer
    x = 7,485.86

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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.