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Finding the Fourth Proportional to 8,731.52, 13,092.16 and 3,466.88

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Solution

The fourth proportional to 8,731.52, 13,092.16 and 3,466.88 is: 5,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.52 : 13,092.16 = 3,466.88 : x
  2. Step 2: Convert to fraction form
    8,731.52/13,092.16 = 3,466.88/x
  3. Step 3: Cross multiply
    8,731.52x = 13,092.16 × 3,466.88
  4. Step 4: Simplify right side
    8,731.52x = 45,388,947.66
  5. Step 5: Solve for x
    x = 45,388,947.66/8,731.52
  6. Step 6: Final answer
    x = 5,198.29

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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.