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Finding the Fourth Proportional to 11,174.44, 16,765.98 and 5,017

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Solution

The fourth proportional to 11,174.44, 16,765.98 and 5,017 is: 7,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.44 : 16,765.98 = 5,017 : x
  2. Step 2: Convert to fraction form
    11,174.44/16,765.98 = 5,017/x
  3. Step 3: Cross multiply
    11,174.44x = 16,765.98 × 5,017
  4. Step 4: Simplify right side
    11,174.44x = 84,114,921.66
  5. Step 5: Solve for x
    x = 84,114,921.66/11,174.44
  6. Step 6: Final answer
    x = 7,527.44

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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.