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Finding the Fourth Proportional to 11,144.50, 16,720.80 and 4,219

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Solution

The fourth proportional to 11,144.50, 16,720.80 and 4,219 is: 6,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.50 : 16,720.80 = 4,219 : x
  2. Step 2: Convert to fraction form
    11,144.50/16,720.80 = 4,219/x
  3. Step 3: Cross multiply
    11,144.50x = 16,720.80 × 4,219
  4. Step 4: Simplify right side
    11,144.50x = 70,545,055.20
  5. Step 5: Solve for x
    x = 70,545,055.20/11,144.50
  6. Step 6: Final answer
    x = 6,330.03

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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.