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Finding the Fourth Proportional to 11,449.90, 17,174.40 and 3,658.42

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Solution

The fourth proportional to 11,449.90, 17,174.40 and 3,658.42 is: 5,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.90 : 17,174.40 = 3,658.42 : x
  2. Step 2: Convert to fraction form
    11,449.90/17,174.40 = 3,658.42/x
  3. Step 3: Cross multiply
    11,449.90x = 17,174.40 × 3,658.42
  4. Step 4: Simplify right side
    11,449.90x = 62,831,168.45
  5. Step 5: Solve for x
    x = 62,831,168.45/11,449.90
  6. Step 6: Final answer
    x = 5,487.49

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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.