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Finding the Fourth Proportional to 11,634.52, 16,055.66 and 6,329.36

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Solution

The fourth proportional to 11,634.52, 16,055.66 and 6,329.36 is: 8,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.52 : 16,055.66 = 6,329.36 : x
  2. Step 2: Convert to fraction form
    11,634.52/16,055.66 = 6,329.36/x
  3. Step 3: Cross multiply
    11,634.52x = 16,055.66 × 6,329.36
  4. Step 4: Simplify right side
    11,634.52x = 101,622,052.18
  5. Step 5: Solve for x
    x = 101,622,052.18/11,634.52
  6. Step 6: Final answer
    x = 8,734.53

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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.