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Finding the Fourth Proportional to 6,142.94, 8,462.49 and 5,076.26

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Solution

The fourth proportional to 6,142.94, 8,462.49 and 5,076.26 is: 6,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.94 : 8,462.49 = 5,076.26 : x
  2. Step 2: Convert to fraction form
    6,142.94/8,462.49 = 5,076.26/x
  3. Step 3: Cross multiply
    6,142.94x = 8,462.49 × 5,076.26
  4. Step 4: Simplify right side
    6,142.94x = 42,957,799.49
  5. Step 5: Solve for x
    x = 42,957,799.49/6,142.94
  6. Step 6: Final answer
    x = 6,993.04

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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.