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Finding the Fourth Proportional to 7,794.08, 11,672.49 and 4,278.68

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Solution

The fourth proportional to 7,794.08, 11,672.49 and 4,278.68 is: 6,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.08 : 11,672.49 = 4,278.68 : x
  2. Step 2: Convert to fraction form
    7,794.08/11,672.49 = 4,278.68/x
  3. Step 3: Cross multiply
    7,794.08x = 11,672.49 × 4,278.68
  4. Step 4: Simplify right side
    7,794.08x = 49,942,849.51
  5. Step 5: Solve for x
    x = 49,942,849.51/7,794.08
  6. Step 6: Final answer
    x = 6,407.79

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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.