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Finding the Fourth Proportional to 11,944.76, 17,917.07 and 4,153.50

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Solution

The fourth proportional to 11,944.76, 17,917.07 and 4,153.50 is: 6,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.76 : 17,917.07 = 4,153.50 : x
  2. Step 2: Convert to fraction form
    11,944.76/17,917.07 = 4,153.50/x
  3. Step 3: Cross multiply
    11,944.76x = 17,917.07 × 4,153.50
  4. Step 4: Simplify right side
    11,944.76x = 74,418,529.48
  5. Step 5: Solve for x
    x = 74,418,529.48/11,944.76
  6. Step 6: Final answer
    x = 6,230.23

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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.