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Finding the Fourth Proportional to 10,144.51, 13,998.43 and 5,668.17

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Solution

The fourth proportional to 10,144.51, 13,998.43 and 5,668.17 is: 7,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.51 : 13,998.43 = 5,668.17 : x
  2. Step 2: Convert to fraction form
    10,144.51/13,998.43 = 5,668.17/x
  3. Step 3: Cross multiply
    10,144.51x = 13,998.43 × 5,668.17
  4. Step 4: Simplify right side
    10,144.51x = 79,345,419.62
  5. Step 5: Solve for x
    x = 79,345,419.62/10,144.51
  6. Step 6: Final answer
    x = 7,821.51

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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.