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Finding the Fourth Proportional to 8,342.37, 11,512.89 and 4,757.43

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Solution

The fourth proportional to 8,342.37, 11,512.89 and 4,757.43 is: 6,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.37 : 11,512.89 = 4,757.43 : x
  2. Step 2: Convert to fraction form
    8,342.37/11,512.89 = 4,757.43/x
  3. Step 3: Cross multiply
    8,342.37x = 11,512.89 × 4,757.43
  4. Step 4: Simplify right side
    8,342.37x = 54,771,768.27
  5. Step 5: Solve for x
    x = 54,771,768.27/8,342.37
  6. Step 6: Final answer
    x = 6,565.49

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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.