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Finding the Fourth Proportional to 7,845.93, 11,771.78 and 7,382.25

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Solution

The fourth proportional to 7,845.93, 11,771.78 and 7,382.25 is: 11,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.93 : 11,771.78 = 7,382.25 : x
  2. Step 2: Convert to fraction form
    7,845.93/11,771.78 = 7,382.25/x
  3. Step 3: Cross multiply
    7,845.93x = 11,771.78 × 7,382.25
  4. Step 4: Simplify right side
    7,845.93x = 86,902,185.99
  5. Step 5: Solve for x
    x = 86,902,185.99/7,845.93
  6. Step 6: Final answer
    x = 11,076.08

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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.