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Finding the Fourth Proportional to 11,890.73, 16,409.39 and 6,854.09

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Solution

The fourth proportional to 11,890.73, 16,409.39 and 6,854.09 is: 9,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.73 : 16,409.39 = 6,854.09 : x
  2. Step 2: Convert to fraction form
    11,890.73/16,409.39 = 6,854.09/x
  3. Step 3: Cross multiply
    11,890.73x = 16,409.39 × 6,854.09
  4. Step 4: Simplify right side
    11,890.73x = 112,471,319.59
  5. Step 5: Solve for x
    x = 112,471,319.59/11,890.73
  6. Step 6: Final answer
    x = 9,458.74

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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.