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Finding the Fourth Proportional to 11,789.60, 16,277.97 and 7,818.98

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Solution

The fourth proportional to 11,789.60, 16,277.97 and 7,818.98 is: 10,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.60 : 16,277.97 = 7,818.98 : x
  2. Step 2: Convert to fraction form
    11,789.60/16,277.97 = 7,818.98/x
  3. Step 3: Cross multiply
    11,789.60x = 16,277.97 × 7,818.98
  4. Step 4: Simplify right side
    11,789.60x = 127,277,040.48
  5. Step 5: Solve for x
    x = 127,277,040.48/11,789.60
  6. Step 6: Final answer
    x = 10,795.71

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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.