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Finding the Fourth Proportional to 10,861.48, 16,292.46 and 9,229.48

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Solution

The fourth proportional to 10,861.48, 16,292.46 and 9,229.48 is: 13,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.48 : 16,292.46 = 9,229.48 : x
  2. Step 2: Convert to fraction form
    10,861.48/16,292.46 = 9,229.48/x
  3. Step 3: Cross multiply
    10,861.48x = 16,292.46 × 9,229.48
  4. Step 4: Simplify right side
    10,861.48x = 150,370,933.72
  5. Step 5: Solve for x
    x = 150,370,933.72/10,861.48
  6. Step 6: Final answer
    x = 13,844.42

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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.