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Finding the Fourth Proportional to 10,764.96, 14,853.02 and 6,286.12

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Solution

The fourth proportional to 10,764.96, 14,853.02 and 6,286.12 is: 8,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.96 : 14,853.02 = 6,286.12 : x
  2. Step 2: Convert to fraction form
    10,764.96/14,853.02 = 6,286.12/x
  3. Step 3: Cross multiply
    10,764.96x = 14,853.02 × 6,286.12
  4. Step 4: Simplify right side
    10,764.96x = 93,367,866.08
  5. Step 5: Solve for x
    x = 93,367,866.08/10,764.96
  6. Step 6: Final answer
    x = 8,673.31

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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.