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Finding the Fourth Proportional to 11,914.09, 17,858.52 and 4,009.08

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Solution

The fourth proportional to 11,914.09, 17,858.52 and 4,009.08 is: 6,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.09 : 17,858.52 = 4,009.08 : x
  2. Step 2: Convert to fraction form
    11,914.09/17,858.52 = 4,009.08/x
  3. Step 3: Cross multiply
    11,914.09x = 17,858.52 × 4,009.08
  4. Step 4: Simplify right side
    11,914.09x = 71,596,235.36
  5. Step 5: Solve for x
    x = 71,596,235.36/11,914.09
  6. Step 6: Final answer
    x = 6,009.38

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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.