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Finding the Fourth Proportional to 11,893.64, 17,838.63 and 4,100.63

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Solution

The fourth proportional to 11,893.64, 17,838.63 and 4,100.63 is: 6,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.64 : 17,838.63 = 4,100.63 : x
  2. Step 2: Convert to fraction form
    11,893.64/17,838.63 = 4,100.63/x
  3. Step 3: Cross multiply
    11,893.64x = 17,838.63 × 4,100.63
  4. Step 4: Simplify right side
    11,893.64x = 73,149,532.14
  5. Step 5: Solve for x
    x = 73,149,532.14/11,893.64
  6. Step 6: Final answer
    x = 6,150.31

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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.