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Finding the Fourth Proportional to 6,850.16, 10,270.92 and 3,774.32

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Solution

The fourth proportional to 6,850.16, 10,270.92 and 3,774.32 is: 5,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.16 : 10,270.92 = 3,774.32 : x
  2. Step 2: Convert to fraction form
    6,850.16/10,270.92 = 3,774.32/x
  3. Step 3: Cross multiply
    6,850.16x = 10,270.92 × 3,774.32
  4. Step 4: Simplify right side
    6,850.16x = 38,765,738.77
  5. Step 5: Solve for x
    x = 38,765,738.77/6,850.16
  6. Step 6: Final answer
    x = 5,659.10

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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.