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Finding the Fourth Proportional to 11,558, 17,337 and 3,767.36

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Solution

The fourth proportional to 11,558, 17,337 and 3,767.36 is: 5,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558 : 17,337 = 3,767.36 : x
  2. Step 2: Convert to fraction form
    11,558/17,337 = 3,767.36/x
  3. Step 3: Cross multiply
    11,558x = 17,337 × 3,767.36
  4. Step 4: Simplify right side
    11,558x = 65,314,720.32
  5. Step 5: Solve for x
    x = 65,314,720.32/11,558
  6. Step 6: Final answer
    x = 5,651.04

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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.