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Finding the Fourth Proportional to 11,893.11, 16,412.86 and 6,588.42

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Solution

The fourth proportional to 11,893.11, 16,412.86 and 6,588.42 is: 9,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.11 : 16,412.86 = 6,588.42 : x
  2. Step 2: Convert to fraction form
    11,893.11/16,412.86 = 6,588.42/x
  3. Step 3: Cross multiply
    11,893.11x = 16,412.86 × 6,588.42
  4. Step 4: Simplify right side
    11,893.11x = 108,134,815.08
  5. Step 5: Solve for x
    x = 108,134,815.08/11,893.11
  6. Step 6: Final answer
    x = 9,092.22

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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.