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Finding the Fourth Proportional to 11,893.58, 16,414.14 and 6,588.89

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Solution

The fourth proportional to 11,893.58, 16,414.14 and 6,588.89 is: 9,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.58 : 16,414.14 = 6,588.89 : x
  2. Step 2: Convert to fraction form
    11,893.58/16,414.14 = 6,588.89/x
  3. Step 3: Cross multiply
    11,893.58x = 16,414.14 × 6,588.89
  4. Step 4: Simplify right side
    11,893.58x = 108,150,865.34
  5. Step 5: Solve for x
    x = 108,150,865.34/11,893.58
  6. Step 6: Final answer
    x = 9,093.22

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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.