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Finding the Fourth Proportional to 11,835.29, 16,333.22 and 6,801.14

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Solution

The fourth proportional to 11,835.29, 16,333.22 and 6,801.14 is: 9,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.29 : 16,333.22 = 6,801.14 : x
  2. Step 2: Convert to fraction form
    11,835.29/16,333.22 = 6,801.14/x
  3. Step 3: Cross multiply
    11,835.29x = 16,333.22 × 6,801.14
  4. Step 4: Simplify right side
    11,835.29x = 111,084,451.21
  5. Step 5: Solve for x
    x = 111,084,451.21/11,835.29
  6. Step 6: Final answer
    x = 9,385.87

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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.