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Finding the Fourth Proportional to 11,613.92, 16,027.46 and 6,578.16

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Solution

The fourth proportional to 11,613.92, 16,027.46 and 6,578.16 is: 9,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.92 : 16,027.46 = 6,578.16 : x
  2. Step 2: Convert to fraction form
    11,613.92/16,027.46 = 6,578.16/x
  3. Step 3: Cross multiply
    11,613.92x = 16,027.46 × 6,578.16
  4. Step 4: Simplify right side
    11,613.92x = 105,431,196.27
  5. Step 5: Solve for x
    x = 105,431,196.27/11,613.92
  6. Step 6: Final answer
    x = 9,078.00

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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.