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Finding the Fourth Proportional to 11,739.06, 16,200.41 and 7,022.43

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Solution

The fourth proportional to 11,739.06, 16,200.41 and 7,022.43 is: 9,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.06 : 16,200.41 = 7,022.43 : x
  2. Step 2: Convert to fraction form
    11,739.06/16,200.41 = 7,022.43/x
  3. Step 3: Cross multiply
    11,739.06x = 16,200.41 × 7,022.43
  4. Step 4: Simplify right side
    11,739.06x = 113,766,210.08
  5. Step 5: Solve for x
    x = 113,766,210.08/11,739.06
  6. Step 6: Final answer
    x = 9,691.25

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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.