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Finding the Fourth Proportional to 11,164.06, 16,744.46 and 3,264.50

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Solution

The fourth proportional to 11,164.06, 16,744.46 and 3,264.50 is: 4,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.06 : 16,744.46 = 3,264.50 : x
  2. Step 2: Convert to fraction form
    11,164.06/16,744.46 = 3,264.50/x
  3. Step 3: Cross multiply
    11,164.06x = 16,744.46 × 3,264.50
  4. Step 4: Simplify right side
    11,164.06x = 54,662,315.21
  5. Step 5: Solve for x
    x = 54,662,315.21/11,164.06
  6. Step 6: Final answer
    x = 4,896.28

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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.