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Finding the Fourth Proportional to 10,469.05, 14,446.99 and 5,992.65

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Solution

The fourth proportional to 10,469.05, 14,446.99 and 5,992.65 is: 8,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.05 : 14,446.99 = 5,992.65 : x
  2. Step 2: Convert to fraction form
    10,469.05/14,446.99 = 5,992.65/x
  3. Step 3: Cross multiply
    10,469.05x = 14,446.99 × 5,992.65
  4. Step 4: Simplify right side
    10,469.05x = 86,575,754.62
  5. Step 5: Solve for x
    x = 86,575,754.62/10,469.05
  6. Step 6: Final answer
    x = 8,269.69

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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.