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Finding the Fourth Proportional to 11,627.75, 16,046.84 and 6,523.76

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Solution

The fourth proportional to 11,627.75, 16,046.84 and 6,523.76 is: 9,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.75 : 16,046.84 = 6,523.76 : x
  2. Step 2: Convert to fraction form
    11,627.75/16,046.84 = 6,523.76/x
  3. Step 3: Cross multiply
    11,627.75x = 16,046.84 × 6,523.76
  4. Step 4: Simplify right side
    11,627.75x = 104,685,732.92
  5. Step 5: Solve for x
    x = 104,685,732.92/11,627.75
  6. Step 6: Final answer
    x = 9,003.09

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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.