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Finding the Fourth Proportional to 10,961.20, 16,441.80 and 4,817.20

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Solution

The fourth proportional to 10,961.20, 16,441.80 and 4,817.20 is: 7,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.20 : 16,441.80 = 4,817.20 : x
  2. Step 2: Convert to fraction form
    10,961.20/16,441.80 = 4,817.20/x
  3. Step 3: Cross multiply
    10,961.20x = 16,441.80 × 4,817.20
  4. Step 4: Simplify right side
    10,961.20x = 79,203,438.96
  5. Step 5: Solve for x
    x = 79,203,438.96/10,961.20
  6. Step 6: Final answer
    x = 7,225.80

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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.