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Finding the Fourth Proportional to 13,762.12, 18,991.38 and 7,793.68

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Solution

The fourth proportional to 13,762.12, 18,991.38 and 7,793.68 is: 10,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.12 : 18,991.38 = 7,793.68 : x
  2. Step 2: Convert to fraction form
    13,762.12/18,991.38 = 7,793.68/x
  3. Step 3: Cross multiply
    13,762.12x = 18,991.38 × 7,793.68
  4. Step 4: Simplify right side
    13,762.12x = 148,012,738.48
  5. Step 5: Solve for x
    x = 148,012,738.48/13,762.12
  6. Step 6: Final answer
    x = 10,755.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.