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Finding the Fourth Proportional to 10,144.50, 13,999.41 and 5,728.50

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Solution

The fourth proportional to 10,144.50, 13,999.41 and 5,728.50 is: 7,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.50 : 13,999.41 = 5,728.50 : x
  2. Step 2: Convert to fraction form
    10,144.50/13,999.41 = 5,728.50/x
  3. Step 3: Cross multiply
    10,144.50x = 13,999.41 × 5,728.50
  4. Step 4: Simplify right side
    10,144.50x = 80,195,620.19
  5. Step 5: Solve for x
    x = 80,195,620.19/10,144.50
  6. Step 6: Final answer
    x = 7,905.33

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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.