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Finding the Fourth Proportional to 7,795.68, 11,694.15 and 2,601.57

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Solution

The fourth proportional to 7,795.68, 11,694.15 and 2,601.57 is: 3,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.68 : 11,694.15 = 2,601.57 : x
  2. Step 2: Convert to fraction form
    7,795.68/11,694.15 = 2,601.57/x
  3. Step 3: Cross multiply
    7,795.68x = 11,694.15 × 2,601.57
  4. Step 4: Simplify right side
    7,795.68x = 30,423,149.82
  5. Step 5: Solve for x
    x = 30,423,149.82/7,795.68
  6. Step 6: Final answer
    x = 3,902.57

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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.