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Finding the Fourth Proportional to 11,905.29, 17,866.17 and 4,114.17

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Solution

The fourth proportional to 11,905.29, 17,866.17 and 4,114.17 is: 6,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.29 : 17,866.17 = 4,114.17 : x
  2. Step 2: Convert to fraction form
    11,905.29/17,866.17 = 4,114.17/x
  3. Step 3: Cross multiply
    11,905.29x = 17,866.17 × 4,114.17
  4. Step 4: Simplify right side
    11,905.29x = 73,504,460.63
  5. Step 5: Solve for x
    x = 73,504,460.63/11,905.29
  6. Step 6: Final answer
    x = 6,174.10

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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.