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Finding the Fourth Proportional to 11,146.54, 16,722.60 and 7,866.04

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Solution

The fourth proportional to 11,146.54, 16,722.60 and 7,866.04 is: 11,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.54 : 16,722.60 = 7,866.04 : x
  2. Step 2: Convert to fraction form
    11,146.54/16,722.60 = 7,866.04/x
  3. Step 3: Cross multiply
    11,146.54x = 16,722.60 × 7,866.04
  4. Step 4: Simplify right side
    11,146.54x = 131,540,640.50
  5. Step 5: Solve for x
    x = 131,540,640.50/11,146.54
  6. Step 6: Final answer
    x = 11,801.03

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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.