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Finding the Fourth Proportional to 11,324.63, 16,993.06 and 6,653.77

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Solution

The fourth proportional to 11,324.63, 16,993.06 and 6,653.77 is: 9,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.63 : 16,993.06 = 6,653.77 : x
  2. Step 2: Convert to fraction form
    11,324.63/16,993.06 = 6,653.77/x
  3. Step 3: Cross multiply
    11,324.63x = 16,993.06 × 6,653.77
  4. Step 4: Simplify right side
    11,324.63x = 113,067,794.60
  5. Step 5: Solve for x
    x = 113,067,794.60/11,324.63
  6. Step 6: Final answer
    x = 9,984.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.