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Finding the Fourth Proportional to 6,842.01, 10,266.08 and 3,920.32

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Solution

The fourth proportional to 6,842.01, 10,266.08 and 3,920.32 is: 5,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.01 : 10,266.08 = 3,920.32 : x
  2. Step 2: Convert to fraction form
    6,842.01/10,266.08 = 3,920.32/x
  3. Step 3: Cross multiply
    6,842.01x = 10,266.08 × 3,920.32
  4. Step 4: Simplify right side
    6,842.01x = 40,246,311.98
  5. Step 5: Solve for x
    x = 40,246,311.98/6,842.01
  6. Step 6: Final answer
    x = 5,882.23

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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.