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Finding the Fourth Proportional to 7,796.97, 11,688.49 and 2,865.46

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Solution

The fourth proportional to 7,796.97, 11,688.49 and 2,865.46 is: 4,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.97 : 11,688.49 = 2,865.46 : x
  2. Step 2: Convert to fraction form
    7,796.97/11,688.49 = 2,865.46/x
  3. Step 3: Cross multiply
    7,796.97x = 11,688.49 × 2,865.46
  4. Step 4: Simplify right side
    7,796.97x = 33,492,900.56
  5. Step 5: Solve for x
    x = 33,492,900.56/7,796.97
  6. Step 6: Final answer
    x = 4,295.63

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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.