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Finding the Fourth Proportional to 11,947.50, 17,923.68 and 5,022

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Solution

The fourth proportional to 11,947.50, 17,923.68 and 5,022 is: 7,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.50 : 17,923.68 = 5,022 : x
  2. Step 2: Convert to fraction form
    11,947.50/17,923.68 = 5,022/x
  3. Step 3: Cross multiply
    11,947.50x = 17,923.68 × 5,022
  4. Step 4: Simplify right side
    11,947.50x = 90,012,720.96
  5. Step 5: Solve for x
    x = 90,012,720.96/11,947.50
  6. Step 6: Final answer
    x = 7,534.02

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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.