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Finding the Fourth Proportional to 12,150.94, 16,772.49 and 7,116.78

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Solution

The fourth proportional to 12,150.94, 16,772.49 and 7,116.78 is: 9,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.94 : 16,772.49 = 7,116.78 : x
  2. Step 2: Convert to fraction form
    12,150.94/16,772.49 = 7,116.78/x
  3. Step 3: Cross multiply
    12,150.94x = 16,772.49 × 7,116.78
  4. Step 4: Simplify right side
    12,150.94x = 119,366,121.38
  5. Step 5: Solve for x
    x = 119,366,121.38/12,150.94
  6. Step 6: Final answer
    x = 9,823.61

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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.