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Finding the Fourth Proportional to 10,816.20, 14,920.20 and 6,839.10

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Solution

The fourth proportional to 10,816.20, 14,920.20 and 6,839.10 is: 9,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.20 : 14,920.20 = 6,839.10 : x
  2. Step 2: Convert to fraction form
    10,816.20/14,920.20 = 6,839.10/x
  3. Step 3: Cross multiply
    10,816.20x = 14,920.20 × 6,839.10
  4. Step 4: Simplify right side
    10,816.20x = 102,040,739.82
  5. Step 5: Solve for x
    x = 102,040,739.82/10,816.20
  6. Step 6: Final answer
    x = 9,434.07

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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.