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Finding the Fourth Proportional to 11,892.81, 17,847.42 and 4,101.63

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Solution

The fourth proportional to 11,892.81, 17,847.42 and 4,101.63 is: 6,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.81 : 17,847.42 = 4,101.63 : x
  2. Step 2: Convert to fraction form
    11,892.81/17,847.42 = 4,101.63/x
  3. Step 3: Cross multiply
    11,892.81x = 17,847.42 × 4,101.63
  4. Step 4: Simplify right side
    11,892.81x = 73,203,513.29
  5. Step 5: Solve for x
    x = 73,203,513.29/11,892.81
  6. Step 6: Final answer
    x = 6,155.27

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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.