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Finding the Fourth Proportional to 10,183, 14,052.54 and 5,767

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Solution

The fourth proportional to 10,183, 14,052.54 and 5,767 is: 7,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183 : 14,052.54 = 5,767 : x
  2. Step 2: Convert to fraction form
    10,183/14,052.54 = 5,767/x
  3. Step 3: Cross multiply
    10,183x = 14,052.54 × 5,767
  4. Step 4: Simplify right side
    10,183x = 81,040,998.18
  5. Step 5: Solve for x
    x = 81,040,998.18/10,183
  6. Step 6: Final answer
    x = 7,958.46

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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.