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Finding the Fourth Proportional to 11,397, 17,095.50 and 3,606.06

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Solution

The fourth proportional to 11,397, 17,095.50 and 3,606.06 is: 5,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 17,095.50 = 3,606.06 : x
  2. Step 2: Convert to fraction form
    11,397/17,095.50 = 3,606.06/x
  3. Step 3: Cross multiply
    11,397x = 17,095.50 × 3,606.06
  4. Step 4: Simplify right side
    11,397x = 61,647,398.73
  5. Step 5: Solve for x
    x = 61,647,398.73/11,397
  6. Step 6: Final answer
    x = 5,409.09

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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.