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Finding the Fourth Proportional to 6,192.48, 8,539.92 and 5,745.36

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Solution

The fourth proportional to 6,192.48, 8,539.92 and 5,745.36 is: 7,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.48 : 8,539.92 = 5,745.36 : x
  2. Step 2: Convert to fraction form
    6,192.48/8,539.92 = 5,745.36/x
  3. Step 3: Cross multiply
    6,192.48x = 8,539.92 × 5,745.36
  4. Step 4: Simplify right side
    6,192.48x = 49,064,914.77
  5. Step 5: Solve for x
    x = 49,064,914.77/6,192.48
  6. Step 6: Final answer
    x = 7,923.31

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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.