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Finding the Fourth Proportional to 10,234.43, 14,120.92 and 7,846.79

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Solution

The fourth proportional to 10,234.43, 14,120.92 and 7,846.79 is: 10,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.43 : 14,120.92 = 7,846.79 : x
  2. Step 2: Convert to fraction form
    10,234.43/14,120.92 = 7,846.79/x
  3. Step 3: Cross multiply
    10,234.43x = 14,120.92 × 7,846.79
  4. Step 4: Simplify right side
    10,234.43x = 110,803,893.85
  5. Step 5: Solve for x
    x = 110,803,893.85/10,234.43
  6. Step 6: Final answer
    x = 10,826.58

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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.