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Finding the Fourth Proportional to 8,104, 11,184.34 and 4,959.58

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Solution

The fourth proportional to 8,104, 11,184.34 and 4,959.58 is: 6,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104 : 11,184.34 = 4,959.58 : x
  2. Step 2: Convert to fraction form
    8,104/11,184.34 = 4,959.58/x
  3. Step 3: Cross multiply
    8,104x = 11,184.34 × 4,959.58
  4. Step 4: Simplify right side
    8,104x = 55,469,628.98
  5. Step 5: Solve for x
    x = 55,469,628.98/8,104
  6. Step 6: Final answer
    x = 6,844.72

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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.