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Finding the Fourth Proportional to 8,796.80, 13,198.30 and 5,846.96

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Solution

The fourth proportional to 8,796.80, 13,198.30 and 5,846.96 is: 8,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,796.80 : 13,198.30 = 5,846.96 : x
  2. Step 2: Convert to fraction form
    8,796.80/13,198.30 = 5,846.96/x
  3. Step 3: Cross multiply
    8,796.80x = 13,198.30 × 5,846.96
  4. Step 4: Simplify right side
    8,796.80x = 77,169,876.31
  5. Step 5: Solve for x
    x = 77,169,876.31/8,796.80
  6. Step 6: Final answer
    x = 8,772.50

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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.