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Finding the Fourth Proportional to 11,729.43, 16,187.00 and 6,424.11

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Solution

The fourth proportional to 11,729.43, 16,187.00 and 6,424.11 is: 8,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.43 : 16,187.00 = 6,424.11 : x
  2. Step 2: Convert to fraction form
    11,729.43/16,187.00 = 6,424.11/x
  3. Step 3: Cross multiply
    11,729.43x = 16,187.00 × 6,424.11
  4. Step 4: Simplify right side
    11,729.43x = 103,987,036.45
  5. Step 5: Solve for x
    x = 103,987,036.45/11,729.43
  6. Step 6: Final answer
    x = 8,865.48

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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.