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Finding the Fourth Proportional to 10,471.44, 14,450.32 and 5,755.60

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Solution

The fourth proportional to 10,471.44, 14,450.32 and 5,755.60 is: 7,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.44 : 14,450.32 = 5,755.60 : x
  2. Step 2: Convert to fraction form
    10,471.44/14,450.32 = 5,755.60/x
  3. Step 3: Cross multiply
    10,471.44x = 14,450.32 × 5,755.60
  4. Step 4: Simplify right side
    10,471.44x = 83,170,261.79
  5. Step 5: Solve for x
    x = 83,170,261.79/10,471.44
  6. Step 6: Final answer
    x = 7,942.58

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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.