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Finding the Fourth Proportional to 11,638.50, 17,458.14 and 4,619.82

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Solution

The fourth proportional to 11,638.50, 17,458.14 and 4,619.82 is: 6,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.50 : 17,458.14 = 4,619.82 : x
  2. Step 2: Convert to fraction form
    11,638.50/17,458.14 = 4,619.82/x
  3. Step 3: Cross multiply
    11,638.50x = 17,458.14 × 4,619.82
  4. Step 4: Simplify right side
    11,638.50x = 80,653,464.33
  5. Step 5: Solve for x
    x = 80,653,464.33/11,638.50
  6. Step 6: Final answer
    x = 6,929.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.