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Finding the Fourth Proportional to 10,364.80, 15,550.80 and 4,523.20

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Solution

The fourth proportional to 10,364.80, 15,550.80 and 4,523.20 is: 6,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.80 : 15,550.80 = 4,523.20 : x
  2. Step 2: Convert to fraction form
    10,364.80/15,550.80 = 4,523.20/x
  3. Step 3: Cross multiply
    10,364.80x = 15,550.80 × 4,523.20
  4. Step 4: Simplify right side
    10,364.80x = 70,339,378.56
  5. Step 5: Solve for x
    x = 70,339,378.56/10,364.80
  6. Step 6: Final answer
    x = 6,786.37

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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.