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Finding the Fourth Proportional to 11,891.81, 16,403.11 and 7,641.44

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Solution

The fourth proportional to 11,891.81, 16,403.11 and 7,641.44 is: 10,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 16,403.11 = 7,641.44 : x
  2. Step 2: Convert to fraction form
    11,891.81/16,403.11 = 7,641.44/x
  3. Step 3: Cross multiply
    11,891.81x = 16,403.11 × 7,641.44
  4. Step 4: Simplify right side
    11,891.81x = 125,343,341.27
  5. Step 5: Solve for x
    x = 125,343,341.27/11,891.81
  6. Step 6: Final answer
    x = 10,540.31

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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.