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Finding the Fourth Proportional to 11,924.88, 17,887.50 and 4,133.85

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Solution

The fourth proportional to 11,924.88, 17,887.50 and 4,133.85 is: 6,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.88 : 17,887.50 = 4,133.85 : x
  2. Step 2: Convert to fraction form
    11,924.88/17,887.50 = 4,133.85/x
  3. Step 3: Cross multiply
    11,924.88x = 17,887.50 × 4,133.85
  4. Step 4: Simplify right side
    11,924.88x = 73,944,241.88
  5. Step 5: Solve for x
    x = 73,944,241.88/11,924.88
  6. Step 6: Final answer
    x = 6,200.84

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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.