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Finding the Fourth Proportional to 8,092.48, 12,134 and 2,544.32

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Solution

The fourth proportional to 8,092.48, 12,134 and 2,544.32 is: 3,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.48 : 12,134 = 2,544.32 : x
  2. Step 2: Convert to fraction form
    8,092.48/12,134 = 2,544.32/x
  3. Step 3: Cross multiply
    8,092.48x = 12,134 × 2,544.32
  4. Step 4: Simplify right side
    8,092.48x = 30,872,778.88
  5. Step 5: Solve for x
    x = 30,872,778.88/8,092.48
  6. Step 6: Final answer
    x = 3,815.00

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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.