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Finding the Fourth Proportional to 10,045.25, 13,861.52 and 5,795.34

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Solution

The fourth proportional to 10,045.25, 13,861.52 and 5,795.34 is: 7,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.25 : 13,861.52 = 5,795.34 : x
  2. Step 2: Convert to fraction form
    10,045.25/13,861.52 = 5,795.34/x
  3. Step 3: Cross multiply
    10,045.25x = 13,861.52 × 5,795.34
  4. Step 4: Simplify right side
    10,045.25x = 80,332,183.88
  5. Step 5: Solve for x
    x = 80,332,183.88/10,045.25
  6. Step 6: Final answer
    x = 7,997.03

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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.