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Finding the Fourth Proportional to 11,873.56, 16,384.42 and 6,568.27

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Solution

The fourth proportional to 11,873.56, 16,384.42 and 6,568.27 is: 9,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.56 : 16,384.42 = 6,568.27 : x
  2. Step 2: Convert to fraction form
    11,873.56/16,384.42 = 6,568.27/x
  3. Step 3: Cross multiply
    11,873.56x = 16,384.42 × 6,568.27
  4. Step 4: Simplify right side
    11,873.56x = 107,617,294.35
  5. Step 5: Solve for x
    x = 107,617,294.35/11,873.56
  6. Step 6: Final answer
    x = 9,063.61

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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.