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Finding the Fourth Proportional to 7,727.87, 11,593.17 and 2,804.39

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Solution

The fourth proportional to 7,727.87, 11,593.17 and 2,804.39 is: 4,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.87 : 11,593.17 = 2,804.39 : x
  2. Step 2: Convert to fraction form
    7,727.87/11,593.17 = 2,804.39/x
  3. Step 3: Cross multiply
    7,727.87x = 11,593.17 × 2,804.39
  4. Step 4: Simplify right side
    7,727.87x = 32,511,712.05
  5. Step 5: Solve for x
    x = 32,511,712.05/7,727.87
  6. Step 6: Final answer
    x = 4,207.08

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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.