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Finding the Fourth Proportional to 10,144.56, 13,998.20 and 5,668.14

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Solution

The fourth proportional to 10,144.56, 13,998.20 and 5,668.14 is: 7,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.56 : 13,998.20 = 5,668.14 : x
  2. Step 2: Convert to fraction form
    10,144.56/13,998.20 = 5,668.14/x
  3. Step 3: Cross multiply
    10,144.56x = 13,998.20 × 5,668.14
  4. Step 4: Simplify right side
    10,144.56x = 79,343,757.35
  5. Step 5: Solve for x
    x = 79,343,757.35/10,144.56
  6. Step 6: Final answer
    x = 7,821.31

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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.