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Finding the Fourth Proportional to 11,524, 17,283.87 and 3,201.91

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Solution

The fourth proportional to 11,524, 17,283.87 and 3,201.91 is: 4,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 17,283.87 = 3,201.91 : x
  2. Step 2: Convert to fraction form
    11,524/17,283.87 = 3,201.91/x
  3. Step 3: Cross multiply
    11,524x = 17,283.87 × 3,201.91
  4. Step 4: Simplify right side
    11,524x = 55,341,396.19
  5. Step 5: Solve for x
    x = 55,341,396.19/11,524
  6. Step 6: Final answer
    x = 4,802.27

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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.