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Finding the Fourth Proportional to 7,929.34, 11,899.41 and 4,234.22

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Solution

The fourth proportional to 7,929.34, 11,899.41 and 4,234.22 is: 6,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.34 : 11,899.41 = 4,234.22 : x
  2. Step 2: Convert to fraction form
    7,929.34/11,899.41 = 4,234.22/x
  3. Step 3: Cross multiply
    7,929.34x = 11,899.41 × 4,234.22
  4. Step 4: Simplify right side
    7,929.34x = 50,384,755.99
  5. Step 5: Solve for x
    x = 50,384,755.99/7,929.34
  6. Step 6: Final answer
    x = 6,354.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.