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Finding the Fourth Proportional to 8,192.46, 11,306.37 and 4,836.30

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Solution

The fourth proportional to 8,192.46, 11,306.37 and 4,836.30 is: 6,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.46 : 11,306.37 = 4,836.30 : x
  2. Step 2: Convert to fraction form
    8,192.46/11,306.37 = 4,836.30/x
  3. Step 3: Cross multiply
    8,192.46x = 11,306.37 × 4,836.30
  4. Step 4: Simplify right side
    8,192.46x = 54,680,997.23
  5. Step 5: Solve for x
    x = 54,680,997.23/8,192.46
  6. Step 6: Final answer
    x = 6,674.55

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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.