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Finding the Fourth Proportional to 8,171.69, 11,276.82 and 4,814.64

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Solution

The fourth proportional to 8,171.69, 11,276.82 and 4,814.64 is: 6,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.69 : 11,276.82 = 4,814.64 : x
  2. Step 2: Convert to fraction form
    8,171.69/11,276.82 = 4,814.64/x
  3. Step 3: Cross multiply
    8,171.69x = 11,276.82 × 4,814.64
  4. Step 4: Simplify right side
    8,171.69x = 54,293,828.64
  5. Step 5: Solve for x
    x = 54,293,828.64/8,171.69
  6. Step 6: Final answer
    x = 6,644.14

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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.