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Finding the Fourth Proportional to 11,906.01, 16,429.91 and 7,189.47

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Solution

The fourth proportional to 11,906.01, 16,429.91 and 7,189.47 is: 9,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.01 : 16,429.91 = 7,189.47 : x
  2. Step 2: Convert to fraction form
    11,906.01/16,429.91 = 7,189.47/x
  3. Step 3: Cross multiply
    11,906.01x = 16,429.91 × 7,189.47
  4. Step 4: Simplify right side
    11,906.01x = 118,122,309.10
  5. Step 5: Solve for x
    x = 118,122,309.10/11,906.01
  6. Step 6: Final answer
    x = 9,921.23

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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.