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Finding the Fourth Proportional to 11,566, 17,361.49 and 5,734.95

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Solution

The fourth proportional to 11,566, 17,361.49 and 5,734.95 is: 8,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566 : 17,361.49 = 5,734.95 : x
  2. Step 2: Convert to fraction form
    11,566/17,361.49 = 5,734.95/x
  3. Step 3: Cross multiply
    11,566x = 17,361.49 × 5,734.95
  4. Step 4: Simplify right side
    11,566x = 99,567,277.08
  5. Step 5: Solve for x
    x = 99,567,277.08/11,566
  6. Step 6: Final answer
    x = 8,608.62

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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.