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Finding the Fourth Proportional to 8,177.92, 11,285.10 and 4,642.27

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Solution

The fourth proportional to 8,177.92, 11,285.10 and 4,642.27 is: 6,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.92 : 11,285.10 = 4,642.27 : x
  2. Step 2: Convert to fraction form
    8,177.92/11,285.10 = 4,642.27/x
  3. Step 3: Cross multiply
    8,177.92x = 11,285.10 × 4,642.27
  4. Step 4: Simplify right side
    8,177.92x = 52,388,481.18
  5. Step 5: Solve for x
    x = 52,388,481.18/8,177.92
  6. Step 6: Final answer
    x = 6,406.09

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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.