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Finding the Fourth Proportional to 10,234, 14,122.92 and 5,818

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Solution

The fourth proportional to 10,234, 14,122.92 and 5,818 is: 8,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 14,122.92 = 5,818 : x
  2. Step 2: Convert to fraction form
    10,234/14,122.92 = 5,818/x
  3. Step 3: Cross multiply
    10,234x = 14,122.92 × 5,818
  4. Step 4: Simplify right side
    10,234x = 82,167,148.56
  5. Step 5: Solve for x
    x = 82,167,148.56/10,234
  6. Step 6: Final answer
    x = 8,028.84

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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.