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Finding the Fourth Proportional to 11,929.88, 17,895 and 4,138.88

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Solution

The fourth proportional to 11,929.88, 17,895 and 4,138.88 is: 6,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.88 : 17,895 = 4,138.88 : x
  2. Step 2: Convert to fraction form
    11,929.88/17,895 = 4,138.88/x
  3. Step 3: Cross multiply
    11,929.88x = 17,895 × 4,138.88
  4. Step 4: Simplify right side
    11,929.88x = 74,065,257.60
  5. Step 5: Solve for x
    x = 74,065,257.60/11,929.88
  6. Step 6: Final answer
    x = 6,208.38

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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.