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Finding the Fourth Proportional to 11,874.05, 16,384.77 and 6,568.14

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Solution

The fourth proportional to 11,874.05, 16,384.77 and 6,568.14 is: 9,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.05 : 16,384.77 = 6,568.14 : x
  2. Step 2: Convert to fraction form
    11,874.05/16,384.77 = 6,568.14/x
  3. Step 3: Cross multiply
    11,874.05x = 16,384.77 × 6,568.14
  4. Step 4: Simplify right side
    11,874.05x = 107,617,500.04
  5. Step 5: Solve for x
    x = 107,617,500.04/11,874.05
  6. Step 6: Final answer
    x = 9,063.25

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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.