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Finding the Fourth Proportional to 11,928.92, 16,464.02 and 8,919.14

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Solution

The fourth proportional to 11,928.92, 16,464.02 and 8,919.14 is: 12,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.92 : 16,464.02 = 8,919.14 : x
  2. Step 2: Convert to fraction form
    11,928.92/16,464.02 = 8,919.14/x
  3. Step 3: Cross multiply
    11,928.92x = 16,464.02 × 8,919.14
  4. Step 4: Simplify right side
    11,928.92x = 146,844,899.34
  5. Step 5: Solve for x
    x = 146,844,899.34/11,928.92
  6. Step 6: Final answer
    x = 12,309.99

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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.