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Finding the Fourth Proportional to 10,161.99, 14,022.89 and 5,684.97

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Solution

The fourth proportional to 10,161.99, 14,022.89 and 5,684.97 is: 7,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.99 : 14,022.89 = 5,684.97 : x
  2. Step 2: Convert to fraction form
    10,161.99/14,022.89 = 5,684.97/x
  3. Step 3: Cross multiply
    10,161.99x = 14,022.89 × 5,684.97
  4. Step 4: Simplify right side
    10,161.99x = 79,719,680.54
  5. Step 5: Solve for x
    x = 79,719,680.54/10,161.99
  6. Step 6: Final answer
    x = 7,844.89

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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.