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Finding the Fourth Proportional to 8,092.64, 11,166.92 and 4,555.76

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Solution

The fourth proportional to 8,092.64, 11,166.92 and 4,555.76 is: 6,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.64 : 11,166.92 = 4,555.76 : x
  2. Step 2: Convert to fraction form
    8,092.64/11,166.92 = 4,555.76/x
  3. Step 3: Cross multiply
    8,092.64x = 11,166.92 × 4,555.76
  4. Step 4: Simplify right side
    8,092.64x = 50,873,807.46
  5. Step 5: Solve for x
    x = 50,873,807.46/8,092.64
  6. Step 6: Final answer
    x = 6,286.43

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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.