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Finding the Fourth Proportional to 10,313.44, 14,231.46 and 5,836.48

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Solution

The fourth proportional to 10,313.44, 14,231.46 and 5,836.48 is: 8,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.44 : 14,231.46 = 5,836.48 : x
  2. Step 2: Convert to fraction form
    10,313.44/14,231.46 = 5,836.48/x
  3. Step 3: Cross multiply
    10,313.44x = 14,231.46 × 5,836.48
  4. Step 4: Simplify right side
    10,313.44x = 83,061,631.66
  5. Step 5: Solve for x
    x = 83,061,631.66/10,313.44
  6. Step 6: Final answer
    x = 8,053.73

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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.