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Finding the Fourth Proportional to 6,092.24, 8,407.68 and 5,042.48

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Solution

The fourth proportional to 6,092.24, 8,407.68 and 5,042.48 is: 6,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.24 : 8,407.68 = 5,042.48 : x
  2. Step 2: Convert to fraction form
    6,092.24/8,407.68 = 5,042.48/x
  3. Step 3: Cross multiply
    6,092.24x = 8,407.68 × 5,042.48
  4. Step 4: Simplify right side
    6,092.24x = 42,395,558.25
  5. Step 5: Solve for x
    x = 42,395,558.25/6,092.24
  6. Step 6: Final answer
    x = 6,958.94

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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.