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Finding the Fourth Proportional to 11,750.37, 17,619.93 and 6,821.37

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Solution

The fourth proportional to 11,750.37, 17,619.93 and 6,821.37 is: 10,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.37 : 17,619.93 = 6,821.37 : x
  2. Step 2: Convert to fraction form
    11,750.37/17,619.93 = 6,821.37/x
  3. Step 3: Cross multiply
    11,750.37x = 17,619.93 × 6,821.37
  4. Step 4: Simplify right side
    11,750.37x = 120,192,061.90
  5. Step 5: Solve for x
    x = 120,192,061.90/11,750.37
  6. Step 6: Final answer
    x = 10,228.79

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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.