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Finding the Fourth Proportional to 10,469.52, 14,447.90 and 5,993.26

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Solution

The fourth proportional to 10,469.52, 14,447.90 and 5,993.26 is: 8,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.52 : 14,447.90 = 5,993.26 : x
  2. Step 2: Convert to fraction form
    10,469.52/14,447.90 = 5,993.26/x
  3. Step 3: Cross multiply
    10,469.52x = 14,447.90 × 5,993.26
  4. Step 4: Simplify right side
    10,469.52x = 86,590,000.02
  5. Step 5: Solve for x
    x = 86,590,000.02/10,469.52
  6. Step 6: Final answer
    x = 8,270.68

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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.