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Finding the Fourth Proportional to 11,440.50, 17,160.18 and 3,648.30

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Solution

The fourth proportional to 11,440.50, 17,160.18 and 3,648.30 is: 5,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.50 : 17,160.18 = 3,648.30 : x
  2. Step 2: Convert to fraction form
    11,440.50/17,160.18 = 3,648.30/x
  3. Step 3: Cross multiply
    11,440.50x = 17,160.18 × 3,648.30
  4. Step 4: Simplify right side
    11,440.50x = 62,605,484.69
  5. Step 5: Solve for x
    x = 62,605,484.69/11,440.50
  6. Step 6: Final answer
    x = 5,472.27

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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.