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Finding the Fourth Proportional to 8,305.28, 11,456.25 and 4,945.85

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Solution

The fourth proportional to 8,305.28, 11,456.25 and 4,945.85 is: 6,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.28 : 11,456.25 = 4,945.85 : x
  2. Step 2: Convert to fraction form
    8,305.28/11,456.25 = 4,945.85/x
  3. Step 3: Cross multiply
    8,305.28x = 11,456.25 × 4,945.85
  4. Step 4: Simplify right side
    8,305.28x = 56,660,894.06
  5. Step 5: Solve for x
    x = 56,660,894.06/8,305.28
  6. Step 6: Final answer
    x = 6,822.27

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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.