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Finding the Fourth Proportional to 11,857.64, 16,363.85 and 6,480.30

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Solution

The fourth proportional to 11,857.64, 16,363.85 and 6,480.30 is: 8,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.64 : 16,363.85 = 6,480.30 : x
  2. Step 2: Convert to fraction form
    11,857.64/16,363.85 = 6,480.30/x
  3. Step 3: Cross multiply
    11,857.64x = 16,363.85 × 6,480.30
  4. Step 4: Simplify right side
    11,857.64x = 106,042,624.75
  5. Step 5: Solve for x
    x = 106,042,624.75/11,857.64
  6. Step 6: Final answer
    x = 8,942.98

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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.