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Finding the Fourth Proportional to 8,388.80, 12,645.20 and 7,812.80

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Solution

The fourth proportional to 8,388.80, 12,645.20 and 7,812.80 is: 11,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.80 : 12,645.20 = 7,812.80 : x
  2. Step 2: Convert to fraction form
    8,388.80/12,645.20 = 7,812.80/x
  3. Step 3: Cross multiply
    8,388.80x = 12,645.20 × 7,812.80
  4. Step 4: Simplify right side
    8,388.80x = 98,794,418.56
  5. Step 5: Solve for x
    x = 98,794,418.56/8,388.80
  6. Step 6: Final answer
    x = 11,776.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.