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Finding the Fourth Proportional to 11,616.80, 17,422.80 and 5,043.20

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Solution

The fourth proportional to 11,616.80, 17,422.80 and 5,043.20 is: 7,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.80 : 17,422.80 = 5,043.20 : x
  2. Step 2: Convert to fraction form
    11,616.80/17,422.80 = 5,043.20/x
  3. Step 3: Cross multiply
    11,616.80x = 17,422.80 × 5,043.20
  4. Step 4: Simplify right side
    11,616.80x = 87,866,664.96
  5. Step 5: Solve for x
    x = 87,866,664.96/11,616.80
  6. Step 6: Final answer
    x = 7,563.76

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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.