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Finding the Fourth Proportional to 11,804.68, 16,293.24 and 6,768.82

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Solution

The fourth proportional to 11,804.68, 16,293.24 and 6,768.82 is: 9,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.68 : 16,293.24 = 6,768.82 : x
  2. Step 2: Convert to fraction form
    11,804.68/16,293.24 = 6,768.82/x
  3. Step 3: Cross multiply
    11,804.68x = 16,293.24 × 6,768.82
  4. Step 4: Simplify right side
    11,804.68x = 110,286,008.78
  5. Step 5: Solve for x
    x = 110,286,008.78/11,804.68
  6. Step 6: Final answer
    x = 9,342.57

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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.