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Finding the Fourth Proportional to 10,884.82, 15,022.12 and 6,409.97

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Solution

The fourth proportional to 10,884.82, 15,022.12 and 6,409.97 is: 8,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.82 : 15,022.12 = 6,409.97 : x
  2. Step 2: Convert to fraction form
    10,884.82/15,022.12 = 6,409.97/x
  3. Step 3: Cross multiply
    10,884.82x = 15,022.12 × 6,409.97
  4. Step 4: Simplify right side
    10,884.82x = 96,291,338.54
  5. Step 5: Solve for x
    x = 96,291,338.54/10,884.82
  6. Step 6: Final answer
    x = 8,846.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.