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Finding the Fourth Proportional to 11,833.27, 16,331.65 and 7,799.47

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Solution

The fourth proportional to 11,833.27, 16,331.65 and 7,799.47 is: 10,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.27 : 16,331.65 = 7,799.47 : x
  2. Step 2: Convert to fraction form
    11,833.27/16,331.65 = 7,799.47/x
  3. Step 3: Cross multiply
    11,833.27x = 16,331.65 × 7,799.47
  4. Step 4: Simplify right side
    11,833.27x = 127,378,214.23
  5. Step 5: Solve for x
    x = 127,378,214.23/11,833.27
  6. Step 6: Final answer
    x = 10,764.41

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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.