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Finding the Fourth Proportional to 7,912.86, 10,921.44 and 5,400.96

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Solution

The fourth proportional to 7,912.86, 10,921.44 and 5,400.96 is: 7,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.86 : 10,921.44 = 5,400.96 : x
  2. Step 2: Convert to fraction form
    7,912.86/10,921.44 = 5,400.96/x
  3. Step 3: Cross multiply
    7,912.86x = 10,921.44 × 5,400.96
  4. Step 4: Simplify right side
    7,912.86x = 58,986,260.58
  5. Step 5: Solve for x
    x = 58,986,260.58/7,912.86
  6. Step 6: Final answer
    x = 7,454.48

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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.