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Finding the Fourth Proportional to 7,845.75, 11,763.86 and 3,687

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Solution

The fourth proportional to 7,845.75, 11,763.86 and 3,687 is: 5,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.75 : 11,763.86 = 3,687 : x
  2. Step 2: Convert to fraction form
    7,845.75/11,763.86 = 3,687/x
  3. Step 3: Cross multiply
    7,845.75x = 11,763.86 × 3,687
  4. Step 4: Simplify right side
    7,845.75x = 43,373,333.39
  5. Step 5: Solve for x
    x = 43,373,333.39/7,845.75
  6. Step 6: Final answer
    x = 5,528.26

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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.