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Finding the Fourth Proportional to 11,639.68, 16,062.84 and 6,334.54

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Solution

The fourth proportional to 11,639.68, 16,062.84 and 6,334.54 is: 8,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.68 : 16,062.84 = 6,334.54 : x
  2. Step 2: Convert to fraction form
    11,639.68/16,062.84 = 6,334.54/x
  3. Step 3: Cross multiply
    11,639.68x = 16,062.84 × 6,334.54
  4. Step 4: Simplify right side
    11,639.68x = 101,750,702.49
  5. Step 5: Solve for x
    x = 101,750,702.49/11,639.68
  6. Step 6: Final answer
    x = 8,741.71

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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.