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Finding the Fourth Proportional to 11,440.62, 17,162.01 and 4,513.50

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Solution

The fourth proportional to 11,440.62, 17,162.01 and 4,513.50 is: 6,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.62 : 17,162.01 = 4,513.50 : x
  2. Step 2: Convert to fraction form
    11,440.62/17,162.01 = 4,513.50/x
  3. Step 3: Cross multiply
    11,440.62x = 17,162.01 × 4,513.50
  4. Step 4: Simplify right side
    11,440.62x = 77,460,732.14
  5. Step 5: Solve for x
    x = 77,460,732.14/11,440.62
  6. Step 6: Final answer
    x = 6,770.68

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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.