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Finding the Fourth Proportional to 7,911.78, 11,876.83 and 4,627.23

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Solution

The fourth proportional to 7,911.78, 11,876.83 and 4,627.23 is: 6,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.78 : 11,876.83 = 4,627.23 : x
  2. Step 2: Convert to fraction form
    7,911.78/11,876.83 = 4,627.23/x
  3. Step 3: Cross multiply
    7,911.78x = 11,876.83 × 4,627.23
  4. Step 4: Simplify right side
    7,911.78x = 54,956,767.97
  5. Step 5: Solve for x
    x = 54,956,767.97/7,911.78
  6. Step 6: Final answer
    x = 6,946.20

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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.