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Finding the Fourth Proportional to 8,285.73, 11,423.10 and 5,628.54

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Solution

The fourth proportional to 8,285.73, 11,423.10 and 5,628.54 is: 7,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.73 : 11,423.10 = 5,628.54 : x
  2. Step 2: Convert to fraction form
    8,285.73/11,423.10 = 5,628.54/x
  3. Step 3: Cross multiply
    8,285.73x = 11,423.10 × 5,628.54
  4. Step 4: Simplify right side
    8,285.73x = 64,295,375.27
  5. Step 5: Solve for x
    x = 64,295,375.27/8,285.73
  6. Step 6: Final answer
    x = 7,759.77

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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.