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Finding the Fourth Proportional to 11,896.64, 17,838.72 and 4,103.66

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Solution

The fourth proportional to 11,896.64, 17,838.72 and 4,103.66 is: 6,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.64 : 17,838.72 = 4,103.66 : x
  2. Step 2: Convert to fraction form
    11,896.64/17,838.72 = 4,103.66/x
  3. Step 3: Cross multiply
    11,896.64x = 17,838.72 × 4,103.66
  4. Step 4: Simplify right side
    11,896.64x = 73,204,041.72
  5. Step 5: Solve for x
    x = 73,204,041.72/11,896.64
  6. Step 6: Final answer
    x = 6,153.34

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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.