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Finding the Fourth Proportional to 10,861.61, 16,292.24 and 3,466.02

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Solution

The fourth proportional to 10,861.61, 16,292.24 and 3,466.02 is: 5,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.61 : 16,292.24 = 3,466.02 : x
  2. Step 2: Convert to fraction form
    10,861.61/16,292.24 = 3,466.02/x
  3. Step 3: Cross multiply
    10,861.61x = 16,292.24 × 3,466.02
  4. Step 4: Simplify right side
    10,861.61x = 56,469,212.35
  5. Step 5: Solve for x
    x = 56,469,212.35/10,861.61
  6. Step 6: Final answer
    x = 5,198.97

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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.