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Finding the Fourth Proportional to 11,902.14, 17,855.03 and 3,581.06

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Solution

The fourth proportional to 11,902.14, 17,855.03 and 3,581.06 is: 5,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.14 : 17,855.03 = 3,581.06 : x
  2. Step 2: Convert to fraction form
    11,902.14/17,855.03 = 3,581.06/x
  3. Step 3: Cross multiply
    11,902.14x = 17,855.03 × 3,581.06
  4. Step 4: Simplify right side
    11,902.14x = 63,939,953.84
  5. Step 5: Solve for x
    x = 63,939,953.84/11,902.14
  6. Step 6: Final answer
    x = 5,372.14

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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.