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Finding the Fourth Proportional to 8,194.29, 11,309.57 and 4,836.88

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Solution

The fourth proportional to 8,194.29, 11,309.57 and 4,836.88 is: 6,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.29 : 11,309.57 = 4,836.88 : x
  2. Step 2: Convert to fraction form
    8,194.29/11,309.57 = 4,836.88/x
  3. Step 3: Cross multiply
    8,194.29x = 11,309.57 × 4,836.88
  4. Step 4: Simplify right side
    8,194.29x = 54,703,032.94
  5. Step 5: Solve for x
    x = 54,703,032.94/8,194.29
  6. Step 6: Final answer
    x = 6,675.75

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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.