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Finding the Fourth Proportional to 12,073.36, 16,660.38 and 6,767.32

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Solution

The fourth proportional to 12,073.36, 16,660.38 and 6,767.32 is: 9,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.36 : 16,660.38 = 6,767.32 : x
  2. Step 2: Convert to fraction form
    12,073.36/16,660.38 = 6,767.32/x
  3. Step 3: Cross multiply
    12,073.36x = 16,660.38 × 6,767.32
  4. Step 4: Simplify right side
    12,073.36x = 112,746,122.78
  5. Step 5: Solve for x
    x = 112,746,122.78/12,073.36
  6. Step 6: Final answer
    x = 9,338.42

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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.