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Finding the Fourth Proportional to 11,890.31, 16,410.94 and 6,854.33

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Solution

The fourth proportional to 11,890.31, 16,410.94 and 6,854.33 is: 9,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.31 : 16,410.94 = 6,854.33 : x
  2. Step 2: Convert to fraction form
    11,890.31/16,410.94 = 6,854.33/x
  3. Step 3: Cross multiply
    11,890.31x = 16,410.94 × 6,854.33
  4. Step 4: Simplify right side
    11,890.31x = 112,486,022.26
  5. Step 5: Solve for x
    x = 112,486,022.26/11,890.31
  6. Step 6: Final answer
    x = 9,460.31

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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.