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Finding the Fourth Proportional to 11,833.60, 16,331.16 and 6,799.45

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Solution

The fourth proportional to 11,833.60, 16,331.16 and 6,799.45 is: 9,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.60 : 16,331.16 = 6,799.45 : x
  2. Step 2: Convert to fraction form
    11,833.60/16,331.16 = 6,799.45/x
  3. Step 3: Cross multiply
    11,833.60x = 16,331.16 × 6,799.45
  4. Step 4: Simplify right side
    11,833.60x = 111,042,905.86
  5. Step 5: Solve for x
    x = 111,042,905.86/11,833.60
  6. Step 6: Final answer
    x = 9,383.70

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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.