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Finding the Fourth Proportional to 11,917.44, 17,877 and 4,520.52

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Solution

The fourth proportional to 11,917.44, 17,877 and 4,520.52 is: 6,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.44 : 17,877 = 4,520.52 : x
  2. Step 2: Convert to fraction form
    11,917.44/17,877 = 4,520.52/x
  3. Step 3: Cross multiply
    11,917.44x = 17,877 × 4,520.52
  4. Step 4: Simplify right side
    11,917.44x = 80,813,336.04
  5. Step 5: Solve for x
    x = 80,813,336.04/11,917.44
  6. Step 6: Final answer
    x = 6,781.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.