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Finding the Fourth Proportional to 11,398.50, 17,098.71 and 3,190.50

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Solution

The fourth proportional to 11,398.50, 17,098.71 and 3,190.50 is: 4,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.50 : 17,098.71 = 3,190.50 : x
  2. Step 2: Convert to fraction form
    11,398.50/17,098.71 = 3,190.50/x
  3. Step 3: Cross multiply
    11,398.50x = 17,098.71 × 3,190.50
  4. Step 4: Simplify right side
    11,398.50x = 54,553,434.26
  5. Step 5: Solve for x
    x = 54,553,434.26/11,398.50
  6. Step 6: Final answer
    x = 4,786.02

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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.