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Finding the Fourth Proportional to 7,796.49, 11,688.08 and 2,865.27

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Solution

The fourth proportional to 7,796.49, 11,688.08 and 2,865.27 is: 4,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.49 : 11,688.08 = 2,865.27 : x
  2. Step 2: Convert to fraction form
    7,796.49/11,688.08 = 2,865.27/x
  3. Step 3: Cross multiply
    7,796.49x = 11,688.08 × 2,865.27
  4. Step 4: Simplify right side
    7,796.49x = 33,489,490.66
  5. Step 5: Solve for x
    x = 33,489,490.66/7,796.49
  6. Step 6: Final answer
    x = 4,295.46

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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.