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Finding the Fourth Proportional to 11,383.95, 17,074.97 and 6,438.03

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Solution

The fourth proportional to 11,383.95, 17,074.97 and 6,438.03 is: 9,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.95 : 17,074.97 = 6,438.03 : x
  2. Step 2: Convert to fraction form
    11,383.95/17,074.97 = 6,438.03/x
  3. Step 3: Cross multiply
    11,383.95x = 17,074.97 × 6,438.03
  4. Step 4: Simplify right side
    11,383.95x = 109,929,136.92
  5. Step 5: Solve for x
    x = 109,929,136.92/11,383.95
  6. Step 6: Final answer
    x = 9,656.50

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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.