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Finding the Fourth Proportional to 11,558.72, 15,950.87 and 6,454.31

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Solution

The fourth proportional to 11,558.72, 15,950.87 and 6,454.31 is: 8,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.72 : 15,950.87 = 6,454.31 : x
  2. Step 2: Convert to fraction form
    11,558.72/15,950.87 = 6,454.31/x
  3. Step 3: Cross multiply
    11,558.72x = 15,950.87 × 6,454.31
  4. Step 4: Simplify right side
    11,558.72x = 102,951,867.36
  5. Step 5: Solve for x
    x = 102,951,867.36/11,558.72
  6. Step 6: Final answer
    x = 8,906.86

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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.