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Finding the Fourth Proportional to 11,932.61, 16,472.43 and 7,458.98

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Solution

The fourth proportional to 11,932.61, 16,472.43 and 7,458.98 is: 10,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.61 : 16,472.43 = 7,458.98 : x
  2. Step 2: Convert to fraction form
    11,932.61/16,472.43 = 7,458.98/x
  3. Step 3: Cross multiply
    11,932.61x = 16,472.43 × 7,458.98
  4. Step 4: Simplify right side
    11,932.61x = 122,867,443.56
  5. Step 5: Solve for x
    x = 122,867,443.56/11,932.61
  6. Step 6: Final answer
    x = 10,296.78

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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.