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Finding the Fourth Proportional to 6,744.42, 10,116.63 and 5,266.14

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Solution

The fourth proportional to 6,744.42, 10,116.63 and 5,266.14 is: 7,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.42 : 10,116.63 = 5,266.14 : x
  2. Step 2: Convert to fraction form
    6,744.42/10,116.63 = 5,266.14/x
  3. Step 3: Cross multiply
    6,744.42x = 10,116.63 × 5,266.14
  4. Step 4: Simplify right side
    6,744.42x = 53,275,589.91
  5. Step 5: Solve for x
    x = 53,275,589.91/6,744.42
  6. Step 6: Final answer
    x = 7,899.21

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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.