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Finding the Fourth Proportional to 10,800.66, 16,164.39 and 6,643.30

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Solution

The fourth proportional to 10,800.66, 16,164.39 and 6,643.30 is: 9,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.66 : 16,164.39 = 6,643.30 : x
  2. Step 2: Convert to fraction form
    10,800.66/16,164.39 = 6,643.30/x
  3. Step 3: Cross multiply
    10,800.66x = 16,164.39 × 6,643.30
  4. Step 4: Simplify right side
    10,800.66x = 107,384,892.09
  5. Step 5: Solve for x
    x = 107,384,892.09/10,800.66
  6. Step 6: Final answer
    x = 9,942.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.