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Finding the Fourth Proportional to 10,159, 14,021.34 and 5,743

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Solution

The fourth proportional to 10,159, 14,021.34 and 5,743 is: 7,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159 : 14,021.34 = 5,743 : x
  2. Step 2: Convert to fraction form
    10,159/14,021.34 = 5,743/x
  3. Step 3: Cross multiply
    10,159x = 14,021.34 × 5,743
  4. Step 4: Simplify right side
    10,159x = 80,524,555.62
  5. Step 5: Solve for x
    x = 80,524,555.62/10,159
  6. Step 6: Final answer
    x = 7,926.43

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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.