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Finding the Fourth Proportional to 11,780.97, 17,661.60 and 8,074.14

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Solution

The fourth proportional to 11,780.97, 17,661.60 and 8,074.14 is: 12,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.97 : 17,661.60 = 8,074.14 : x
  2. Step 2: Convert to fraction form
    11,780.97/17,661.60 = 8,074.14/x
  3. Step 3: Cross multiply
    11,780.97x = 17,661.60 × 8,074.14
  4. Step 4: Simplify right side
    11,780.97x = 142,602,231.02
  5. Step 5: Solve for x
    x = 142,602,231.02/11,780.97
  6. Step 6: Final answer
    x = 12,104.46

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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.