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Finding the Fourth Proportional to 7,809.37, 11,716.89 and 3,428.08

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Solution

The fourth proportional to 7,809.37, 11,716.89 and 3,428.08 is: 5,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.37 : 11,716.89 = 3,428.08 : x
  2. Step 2: Convert to fraction form
    7,809.37/11,716.89 = 3,428.08/x
  3. Step 3: Cross multiply
    7,809.37x = 11,716.89 × 3,428.08
  4. Step 4: Simplify right side
    7,809.37x = 40,166,436.27
  5. Step 5: Solve for x
    x = 40,166,436.27/7,809.37
  6. Step 6: Final answer
    x = 5,143.36

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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.