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Finding the Fourth Proportional to 8,182.73, 11,292.16 and 4,456.73

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Solution

The fourth proportional to 8,182.73, 11,292.16 and 4,456.73 is: 6,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.73 : 11,292.16 = 4,456.73 : x
  2. Step 2: Convert to fraction form
    8,182.73/11,292.16 = 4,456.73/x
  3. Step 3: Cross multiply
    8,182.73x = 11,292.16 × 4,456.73
  4. Step 4: Simplify right side
    8,182.73x = 50,326,108.24
  5. Step 5: Solve for x
    x = 50,326,108.24/8,182.73
  6. Step 6: Final answer
    x = 6,150.28

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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.