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Finding the Fourth Proportional to 8,662.08, 11,945.70 and 5,676.83

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Solution

The fourth proportional to 8,662.08, 11,945.70 and 5,676.83 is: 7,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.08 : 11,945.70 = 5,676.83 : x
  2. Step 2: Convert to fraction form
    8,662.08/11,945.70 = 5,676.83/x
  3. Step 3: Cross multiply
    8,662.08x = 11,945.70 × 5,676.83
  4. Step 4: Simplify right side
    8,662.08x = 67,813,708.13
  5. Step 5: Solve for x
    x = 67,813,708.13/8,662.08
  6. Step 6: Final answer
    x = 7,828.80

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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.