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Finding the Fourth Proportional to 7,727.74, 10,664.37 and 4,190.98

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Solution

The fourth proportional to 7,727.74, 10,664.37 and 4,190.98 is: 5,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.74 : 10,664.37 = 4,190.98 : x
  2. Step 2: Convert to fraction form
    7,727.74/10,664.37 = 4,190.98/x
  3. Step 3: Cross multiply
    7,727.74x = 10,664.37 × 4,190.98
  4. Step 4: Simplify right side
    7,727.74x = 44,694,161.38
  5. Step 5: Solve for x
    x = 44,694,161.38/7,727.74
  6. Step 6: Final answer
    x = 5,783.60

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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.