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Finding the Fourth Proportional to 11,858.80, 17,788.56 and 4,067.50

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Solution

The fourth proportional to 11,858.80, 17,788.56 and 4,067.50 is: 6,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.80 : 17,788.56 = 4,067.50 : x
  2. Step 2: Convert to fraction form
    11,858.80/17,788.56 = 4,067.50/x
  3. Step 3: Cross multiply
    11,858.80x = 17,788.56 × 4,067.50
  4. Step 4: Simplify right side
    11,858.80x = 72,354,967.80
  5. Step 5: Solve for x
    x = 72,354,967.80/11,858.80
  6. Step 6: Final answer
    x = 6,101.37

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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.