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Finding the Fourth Proportional to 11,172.33, 16,758.50 and 7,301.34

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Solution

The fourth proportional to 11,172.33, 16,758.50 and 7,301.34 is: 10,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.33 : 16,758.50 = 7,301.34 : x
  2. Step 2: Convert to fraction form
    11,172.33/16,758.50 = 7,301.34/x
  3. Step 3: Cross multiply
    11,172.33x = 16,758.50 × 7,301.34
  4. Step 4: Simplify right side
    11,172.33x = 122,359,469.88
  5. Step 5: Solve for x
    x = 122,359,469.88/11,172.33
  6. Step 6: Final answer
    x = 10,952.01

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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.