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Finding the Fourth Proportional to 7,809.97, 11,687.01 and 7,288.60

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Solution

The fourth proportional to 7,809.97, 11,687.01 and 7,288.60 is: 10,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.97 : 11,687.01 = 7,288.60 : x
  2. Step 2: Convert to fraction form
    7,809.97/11,687.01 = 7,288.60/x
  3. Step 3: Cross multiply
    7,809.97x = 11,687.01 × 7,288.60
  4. Step 4: Simplify right side
    7,809.97x = 85,181,941.09
  5. Step 5: Solve for x
    x = 85,181,941.09/7,809.97
  6. Step 6: Final answer
    x = 10,906.82

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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.