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Finding the Fourth Proportional to 11,661.37, 16,026.36 and 10,923.26

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Solution

The fourth proportional to 11,661.37, 16,026.36 and 10,923.26 is: 15,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.37 : 16,026.36 = 10,923.26 : x
  2. Step 2: Convert to fraction form
    11,661.37/16,026.36 = 10,923.26/x
  3. Step 3: Cross multiply
    11,661.37x = 16,026.36 × 10,923.26
  4. Step 4: Simplify right side
    11,661.37x = 175,059,976.04
  5. Step 5: Solve for x
    x = 175,059,976.04/11,661.37
  6. Step 6: Final answer
    x = 15,011.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.