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Finding the Fourth Proportional to 10,234.44, 14,120.92 and 7,846.80

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Solution

The fourth proportional to 10,234.44, 14,120.92 and 7,846.80 is: 10,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.44 : 14,120.92 = 7,846.80 : x
  2. Step 2: Convert to fraction form
    10,234.44/14,120.92 = 7,846.80/x
  3. Step 3: Cross multiply
    10,234.44x = 14,120.92 × 7,846.80
  4. Step 4: Simplify right side
    10,234.44x = 110,804,035.06
  5. Step 5: Solve for x
    x = 110,804,035.06/10,234.44
  6. Step 6: Final answer
    x = 10,826.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.