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Finding the Fourth Proportional to 11,625.68, 16,043.31 and 6,320.38

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Solution

The fourth proportional to 11,625.68, 16,043.31 and 6,320.38 is: 8,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.68 : 16,043.31 = 6,320.38 : x
  2. Step 2: Convert to fraction form
    11,625.68/16,043.31 = 6,320.38/x
  3. Step 3: Cross multiply
    11,625.68x = 16,043.31 × 6,320.38
  4. Step 4: Simplify right side
    11,625.68x = 101,399,815.66
  5. Step 5: Solve for x
    x = 101,399,815.66/11,625.68
  6. Step 6: Final answer
    x = 8,722.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.