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Finding the Fourth Proportional to 10,469.32, 14,447.41 and 5,992.79

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Solution

The fourth proportional to 10,469.32, 14,447.41 and 5,992.79 is: 8,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.32 : 14,447.41 = 5,992.79 : x
  2. Step 2: Convert to fraction form
    10,469.32/14,447.41 = 5,992.79/x
  3. Step 3: Cross multiply
    10,469.32x = 14,447.41 × 5,992.79
  4. Step 4: Simplify right side
    10,469.32x = 86,580,294.17
  5. Step 5: Solve for x
    x = 86,580,294.17/10,469.32
  6. Step 6: Final answer
    x = 8,269.90

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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.