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Finding the Fourth Proportional to 11,486.02, 17,227.02 and 3,164.03

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Solution

The fourth proportional to 11,486.02, 17,227.02 and 3,164.03 is: 4,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.02 : 17,227.02 = 3,164.03 : x
  2. Step 2: Convert to fraction form
    11,486.02/17,227.02 = 3,164.03/x
  3. Step 3: Cross multiply
    11,486.02x = 17,227.02 × 3,164.03
  4. Step 4: Simplify right side
    11,486.02x = 54,506,808.09
  5. Step 5: Solve for x
    x = 54,506,808.09/11,486.02
  6. Step 6: Final answer
    x = 4,745.49

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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.