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Finding the Fourth Proportional to 11,571.66, 17,366.61 and 5,949.11

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Solution

The fourth proportional to 11,571.66, 17,366.61 and 5,949.11 is: 8,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.66 : 17,366.61 = 5,949.11 : x
  2. Step 2: Convert to fraction form
    11,571.66/17,366.61 = 5,949.11/x
  3. Step 3: Cross multiply
    11,571.66x = 17,366.61 × 5,949.11
  4. Step 4: Simplify right side
    11,571.66x = 103,315,786.38
  5. Step 5: Solve for x
    x = 103,315,786.38/11,571.66
  6. Step 6: Final answer
    x = 8,928.35

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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.