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Finding the Fourth Proportional to 7,797.84, 11,694 and 2,602.56

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Solution

The fourth proportional to 7,797.84, 11,694 and 2,602.56 is: 3,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.84 : 11,694 = 2,602.56 : x
  2. Step 2: Convert to fraction form
    7,797.84/11,694 = 2,602.56/x
  3. Step 3: Cross multiply
    7,797.84x = 11,694 × 2,602.56
  4. Step 4: Simplify right side
    7,797.84x = 30,434,336.64
  5. Step 5: Solve for x
    x = 30,434,336.64/7,797.84
  6. Step 6: Final answer
    x = 3,902.92

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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.