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Finding the Fourth Proportional to 11,458.99, 15,791.92 and 9,187.75

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Solution

The fourth proportional to 11,458.99, 15,791.92 and 9,187.75 is: 12,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.99 : 15,791.92 = 9,187.75 : x
  2. Step 2: Convert to fraction form
    11,458.99/15,791.92 = 9,187.75/x
  3. Step 3: Cross multiply
    11,458.99x = 15,791.92 × 9,187.75
  4. Step 4: Simplify right side
    11,458.99x = 145,092,212.98
  5. Step 5: Solve for x
    x = 145,092,212.98/11,458.99
  6. Step 6: Final answer
    x = 12,661.87

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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.