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Finding the Fourth Proportional to 11,858.98, 17,788.13 and 3,093.90

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Solution

The fourth proportional to 11,858.98, 17,788.13 and 3,093.90 is: 4,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.98 : 17,788.13 = 3,093.90 : x
  2. Step 2: Convert to fraction form
    11,858.98/17,788.13 = 3,093.90/x
  3. Step 3: Cross multiply
    11,858.98x = 17,788.13 × 3,093.90
  4. Step 4: Simplify right side
    11,858.98x = 55,034,695.41
  5. Step 5: Solve for x
    x = 55,034,695.41/11,858.98
  6. Step 6: Final answer
    x = 4,640.76

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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.