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Finding the Fourth Proportional to 11,627.57, 16,046.01 and 6,322.40

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Solution

The fourth proportional to 11,627.57, 16,046.01 and 6,322.40 is: 8,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.57 : 16,046.01 = 6,322.40 : x
  2. Step 2: Convert to fraction form
    11,627.57/16,046.01 = 6,322.40/x
  3. Step 3: Cross multiply
    11,627.57x = 16,046.01 × 6,322.40
  4. Step 4: Simplify right side
    11,627.57x = 101,449,293.62
  5. Step 5: Solve for x
    x = 101,449,293.62/11,627.57
  6. Step 6: Final answer
    x = 8,724.89

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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.