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Finding the Fourth Proportional to 11,627.80, 16,046.17 and 6,322.75

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Solution

The fourth proportional to 11,627.80, 16,046.17 and 6,322.75 is: 8,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.80 : 16,046.17 = 6,322.75 : x
  2. Step 2: Convert to fraction form
    11,627.80/16,046.17 = 6,322.75/x
  3. Step 3: Cross multiply
    11,627.80x = 16,046.17 × 6,322.75
  4. Step 4: Simplify right side
    11,627.80x = 101,455,921.37
  5. Step 5: Solve for x
    x = 101,455,921.37/11,627.80
  6. Step 6: Final answer
    x = 8,725.29

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