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Finding the Fourth Proportional to 11,998.38, 17,999.09 and 4,102.40

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Solution

The fourth proportional to 11,998.38, 17,999.09 and 4,102.40 is: 6,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.38 : 17,999.09 = 4,102.40 : x
  2. Step 2: Convert to fraction form
    11,998.38/17,999.09 = 4,102.40/x
  3. Step 3: Cross multiply
    11,998.38x = 17,999.09 × 4,102.40
  4. Step 4: Simplify right side
    11,998.38x = 73,839,356.31
  5. Step 5: Solve for x
    x = 73,839,356.31/11,998.38
  6. Step 6: Final answer
    x = 6,154.11

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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.