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Finding the Fourth Proportional to 11,431.95, 15,804.96 and 8,443.05

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Solution

The fourth proportional to 11,431.95, 15,804.96 and 8,443.05 is: 11,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.95 : 15,804.96 = 8,443.05 : x
  2. Step 2: Convert to fraction form
    11,431.95/15,804.96 = 8,443.05/x
  3. Step 3: Cross multiply
    11,431.95x = 15,804.96 × 8,443.05
  4. Step 4: Simplify right side
    11,431.95x = 133,442,067.53
  5. Step 5: Solve for x
    x = 133,442,067.53/11,431.95
  6. Step 6: Final answer
    x = 11,672.73

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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.