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Finding the Fourth Proportional to 11,893.14, 16,410.47 and 6,857.55

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Solution

The fourth proportional to 11,893.14, 16,410.47 and 6,857.55 is: 9,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.14 : 16,410.47 = 6,857.55 : x
  2. Step 2: Convert to fraction form
    11,893.14/16,410.47 = 6,857.55/x
  3. Step 3: Cross multiply
    11,893.14x = 16,410.47 × 6,857.55
  4. Step 4: Simplify right side
    11,893.14x = 112,535,584.26
  5. Step 5: Solve for x
    x = 112,535,584.26/11,893.14
  6. Step 6: Final answer
    x = 9,462.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.