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Finding the Fourth Proportional to 7,911.87, 11,876.97 and 4,627.32

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Solution

The fourth proportional to 7,911.87, 11,876.97 and 4,627.32 is: 6,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.87 : 11,876.97 = 4,627.32 : x
  2. Step 2: Convert to fraction form
    7,911.87/11,876.97 = 4,627.32/x
  3. Step 3: Cross multiply
    7,911.87x = 11,876.97 × 4,627.32
  4. Step 4: Simplify right side
    7,911.87x = 54,958,540.82
  5. Step 5: Solve for x
    x = 54,958,540.82/7,911.87
  6. Step 6: Final answer
    x = 6,946.34

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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.