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Finding the Fourth Proportional to 12,033.88, 16,607.38 and 6,728.40

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Solution

The fourth proportional to 12,033.88, 16,607.38 and 6,728.40 is: 9,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.88 : 16,607.38 = 6,728.40 : x
  2. Step 2: Convert to fraction form
    12,033.88/16,607.38 = 6,728.40/x
  3. Step 3: Cross multiply
    12,033.88x = 16,607.38 × 6,728.40
  4. Step 4: Simplify right side
    12,033.88x = 111,741,095.59
  5. Step 5: Solve for x
    x = 111,741,095.59/12,033.88
  6. Step 6: Final answer
    x = 9,285.54

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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.