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Finding the Fourth Proportional to 11,172.50, 16,757.69 and 3,777.01

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Solution

The fourth proportional to 11,172.50, 16,757.69 and 3,777.01 is: 5,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.50 : 16,757.69 = 3,777.01 : x
  2. Step 2: Convert to fraction form
    11,172.50/16,757.69 = 3,777.01/x
  3. Step 3: Cross multiply
    11,172.50x = 16,757.69 × 3,777.01
  4. Step 4: Simplify right side
    11,172.50x = 63,293,996.19
  5. Step 5: Solve for x
    x = 63,293,996.19/11,172.50
  6. Step 6: Final answer
    x = 5,665.16

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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.