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Finding the Fourth Proportional to 11,933.64, 17,910.06 and 6,091.80

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Solution

The fourth proportional to 11,933.64, 17,910.06 and 6,091.80 is: 9,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.64 : 17,910.06 = 6,091.80 : x
  2. Step 2: Convert to fraction form
    11,933.64/17,910.06 = 6,091.80/x
  3. Step 3: Cross multiply
    11,933.64x = 17,910.06 × 6,091.80
  4. Step 4: Simplify right side
    11,933.64x = 109,104,503.51
  5. Step 5: Solve for x
    x = 109,104,503.51/11,933.64
  6. Step 6: Final answer
    x = 9,142.60

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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.