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Finding the Fourth Proportional to 7,797.20, 11,696.96 and 2,601.84

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Solution

The fourth proportional to 7,797.20, 11,696.96 and 2,601.84 is: 3,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.20 : 11,696.96 = 2,601.84 : x
  2. Step 2: Convert to fraction form
    7,797.20/11,696.96 = 2,601.84/x
  3. Step 3: Cross multiply
    7,797.20x = 11,696.96 × 2,601.84
  4. Step 4: Simplify right side
    7,797.20x = 30,433,618.41
  5. Step 5: Solve for x
    x = 30,433,618.41/7,797.20
  6. Step 6: Final answer
    x = 3,903.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.