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Finding the Fourth Proportional to 11,841.14, 16,340.69 and 6,535.96

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Solution

The fourth proportional to 11,841.14, 16,340.69 and 6,535.96 is: 9,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.14 : 16,340.69 = 6,535.96 : x
  2. Step 2: Convert to fraction form
    11,841.14/16,340.69 = 6,535.96/x
  3. Step 3: Cross multiply
    11,841.14x = 16,340.69 × 6,535.96
  4. Step 4: Simplify right side
    11,841.14x = 106,802,096.21
  5. Step 5: Solve for x
    x = 106,802,096.21/11,841.14
  6. Step 6: Final answer
    x = 9,019.58

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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.