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Finding the Fourth Proportional to 8,519.40, 11,759.94 and 4,983.72

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Solution

The fourth proportional to 8,519.40, 11,759.94 and 4,983.72 is: 6,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.40 : 11,759.94 = 4,983.72 : x
  2. Step 2: Convert to fraction form
    8,519.40/11,759.94 = 4,983.72/x
  3. Step 3: Cross multiply
    8,519.40x = 11,759.94 × 4,983.72
  4. Step 4: Simplify right side
    8,519.40x = 58,608,248.18
  5. Step 5: Solve for x
    x = 58,608,248.18/8,519.40
  6. Step 6: Final answer
    x = 6,879.39

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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.