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Finding the Fourth Proportional to 8,169.46, 11,276.16 and 4,814.21

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Solution

The fourth proportional to 8,169.46, 11,276.16 and 4,814.21 is: 6,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.46 : 11,276.16 = 4,814.21 : x
  2. Step 2: Convert to fraction form
    8,169.46/11,276.16 = 4,814.21/x
  3. Step 3: Cross multiply
    8,169.46x = 11,276.16 × 4,814.21
  4. Step 4: Simplify right side
    8,169.46x = 54,285,802.23
  5. Step 5: Solve for x
    x = 54,285,802.23/8,169.46
  6. Step 6: Final answer
    x = 6,644.97

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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.