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Finding the Fourth Proportional to 8,524.37, 11,767.26 and 5,731.49

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Solution

The fourth proportional to 8,524.37, 11,767.26 and 5,731.49 is: 7,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.37 : 11,767.26 = 5,731.49 : x
  2. Step 2: Convert to fraction form
    8,524.37/11,767.26 = 5,731.49/x
  3. Step 3: Cross multiply
    8,524.37x = 11,767.26 × 5,731.49
  4. Step 4: Simplify right side
    8,524.37x = 67,443,874.18
  5. Step 5: Solve for x
    x = 67,443,874.18/8,524.37
  6. Step 6: Final answer
    x = 7,911.89

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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.