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Finding the Fourth Proportional to 11,858.09, 17,794.25 and 4,741.05

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Solution

The fourth proportional to 11,858.09, 17,794.25 and 4,741.05 is: 7,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.09 : 17,794.25 = 4,741.05 : x
  2. Step 2: Convert to fraction form
    11,858.09/17,794.25 = 4,741.05/x
  3. Step 3: Cross multiply
    11,858.09x = 17,794.25 × 4,741.05
  4. Step 4: Simplify right side
    11,858.09x = 84,363,405.26
  5. Step 5: Solve for x
    x = 84,363,405.26/11,858.09
  6. Step 6: Final answer
    x = 7,114.42

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