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Finding the Fourth Proportional to 11,743.41, 16,205.89 and 6,438.11

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Solution

The fourth proportional to 11,743.41, 16,205.89 and 6,438.11 is: 8,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.41 : 16,205.89 = 6,438.11 : x
  2. Step 2: Convert to fraction form
    11,743.41/16,205.89 = 6,438.11/x
  3. Step 3: Cross multiply
    11,743.41x = 16,205.89 × 6,438.11
  4. Step 4: Simplify right side
    11,743.41x = 104,335,302.47
  5. Step 5: Solve for x
    x = 104,335,302.47/11,743.41
  6. Step 6: Final answer
    x = 8,884.58

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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.