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Finding the Fourth Proportional to 8,351.31, 11,524.82 and 4,814.76

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Solution

The fourth proportional to 8,351.31, 11,524.82 and 4,814.76 is: 6,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.31 : 11,524.82 = 4,814.76 : x
  2. Step 2: Convert to fraction form
    8,351.31/11,524.82 = 4,814.76/x
  3. Step 3: Cross multiply
    8,351.31x = 11,524.82 × 4,814.76
  4. Step 4: Simplify right side
    8,351.31x = 55,489,242.34
  5. Step 5: Solve for x
    x = 55,489,242.34/8,351.31
  6. Step 6: Final answer
    x = 6,644.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.