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Finding the Fourth Proportional to 10,164.69, 14,022.27 and 6,808.23

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Solution

The fourth proportional to 10,164.69, 14,022.27 and 6,808.23 is: 9,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.69 : 14,022.27 = 6,808.23 : x
  2. Step 2: Convert to fraction form
    10,164.69/14,022.27 = 6,808.23/x
  3. Step 3: Cross multiply
    10,164.69x = 14,022.27 × 6,808.23
  4. Step 4: Simplify right side
    10,164.69x = 95,466,839.28
  5. Step 5: Solve for x
    x = 95,466,839.28/10,164.69
  6. Step 6: Final answer
    x = 9,392.01

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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.