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Finding the Fourth Proportional to 11,845.80, 17,769 and 4,054.56

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Solution

The fourth proportional to 11,845.80, 17,769 and 4,054.56 is: 6,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.80 : 17,769 = 4,054.56 : x
  2. Step 2: Convert to fraction form
    11,845.80/17,769 = 4,054.56/x
  3. Step 3: Cross multiply
    11,845.80x = 17,769 × 4,054.56
  4. Step 4: Simplify right side
    11,845.80x = 72,045,476.64
  5. Step 5: Solve for x
    x = 72,045,476.64/11,845.80
  6. Step 6: Final answer
    x = 6,081.94

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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.