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Finding the Fourth Proportional to 7,605.50, 11,412.09 and 3,166.43

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Solution

The fourth proportional to 7,605.50, 11,412.09 and 3,166.43 is: 4,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.50 : 11,412.09 = 3,166.43 : x
  2. Step 2: Convert to fraction form
    7,605.50/11,412.09 = 3,166.43/x
  3. Step 3: Cross multiply
    7,605.50x = 11,412.09 × 3,166.43
  4. Step 4: Simplify right side
    7,605.50x = 36,135,527.08
  5. Step 5: Solve for x
    x = 36,135,527.08/7,605.50
  6. Step 6: Final answer
    x = 4,751.24

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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.