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Finding the Fourth Proportional to 11,640.04, 16,062.96 and 6,535.42

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Solution

The fourth proportional to 11,640.04, 16,062.96 and 6,535.42 is: 9,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.04 : 16,062.96 = 6,535.42 : x
  2. Step 2: Convert to fraction form
    11,640.04/16,062.96 = 6,535.42/x
  3. Step 3: Cross multiply
    11,640.04x = 16,062.96 × 6,535.42
  4. Step 4: Simplify right side
    11,640.04x = 104,978,190.04
  5. Step 5: Solve for x
    x = 104,978,190.04/11,640.04
  6. Step 6: Final answer
    x = 9,018.71

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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.