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Finding the Fourth Proportional to 11,893.35, 16,412.94 and 6,588.24

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Solution

The fourth proportional to 11,893.35, 16,412.94 and 6,588.24 is: 9,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.35 : 16,412.94 = 6,588.24 : x
  2. Step 2: Convert to fraction form
    11,893.35/16,412.94 = 6,588.24/x
  3. Step 3: Cross multiply
    11,893.35x = 16,412.94 × 6,588.24
  4. Step 4: Simplify right side
    11,893.35x = 108,132,387.83
  5. Step 5: Solve for x
    x = 108,132,387.83/11,893.35
  6. Step 6: Final answer
    x = 9,091.84

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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.