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Finding the Fourth Proportional to 11,602.72, 17,404 and 3,282.88

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Solution

The fourth proportional to 11,602.72, 17,404 and 3,282.88 is: 4,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.72 : 17,404 = 3,282.88 : x
  2. Step 2: Convert to fraction form
    11,602.72/17,404 = 3,282.88/x
  3. Step 3: Cross multiply
    11,602.72x = 17,404 × 3,282.88
  4. Step 4: Simplify right side
    11,602.72x = 57,135,243.52
  5. Step 5: Solve for x
    x = 57,135,243.52/11,602.72
  6. Step 6: Final answer
    x = 4,924.30

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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.