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Finding the Fourth Proportional to 10,161.82, 14,021.97 and 5,685.08

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Solution

The fourth proportional to 10,161.82, 14,021.97 and 5,685.08 is: 7,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.82 : 14,021.97 = 5,685.08 : x
  2. Step 2: Convert to fraction form
    10,161.82/14,021.97 = 5,685.08/x
  3. Step 3: Cross multiply
    10,161.82x = 14,021.97 × 5,685.08
  4. Step 4: Simplify right side
    10,161.82x = 79,716,034.94
  5. Step 5: Solve for x
    x = 79,716,034.94/10,161.82
  6. Step 6: Final answer
    x = 7,844.66

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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.