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Finding the Fourth Proportional to 11,381.00, 17,074.04 and 3,484.62

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Solution

The fourth proportional to 11,381.00, 17,074.04 and 3,484.62 is: 5,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.00 : 17,074.04 = 3,484.62 : x
  2. Step 2: Convert to fraction form
    11,381.00/17,074.04 = 3,484.62/x
  3. Step 3: Cross multiply
    11,381.00x = 17,074.04 × 3,484.62
  4. Step 4: Simplify right side
    11,381.00x = 59,496,600.94
  5. Step 5: Solve for x
    x = 59,496,600.94/11,381.00
  6. Step 6: Final answer
    x = 5,227.71

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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.