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Finding the Fourth Proportional to 8,519.84, 11,754.63 and 5,161.58

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Solution

The fourth proportional to 8,519.84, 11,754.63 and 5,161.58 is: 7,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.84 : 11,754.63 = 5,161.58 : x
  2. Step 2: Convert to fraction form
    8,519.84/11,754.63 = 5,161.58/x
  3. Step 3: Cross multiply
    8,519.84x = 11,754.63 × 5,161.58
  4. Step 4: Simplify right side
    8,519.84x = 60,672,404.34
  5. Step 5: Solve for x
    x = 60,672,404.34/8,519.84
  6. Step 6: Final answer
    x = 7,121.31

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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.