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Finding the Fourth Proportional to 8,519.37, 11,757.06 and 5,160.29

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Solution

The fourth proportional to 8,519.37, 11,757.06 and 5,160.29 is: 7,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.37 : 11,757.06 = 5,160.29 : x
  2. Step 2: Convert to fraction form
    8,519.37/11,757.06 = 5,160.29/x
  3. Step 3: Cross multiply
    8,519.37x = 11,757.06 × 5,160.29
  4. Step 4: Simplify right side
    8,519.37x = 60,669,780.36
  5. Step 5: Solve for x
    x = 60,669,780.36/8,519.37
  6. Step 6: Final answer
    x = 7,121.40

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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.