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Finding the Fourth Proportional to 11,776.89, 16,251.99 and 6,399.22

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Solution

The fourth proportional to 11,776.89, 16,251.99 and 6,399.22 is: 8,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.89 : 16,251.99 = 6,399.22 : x
  2. Step 2: Convert to fraction form
    11,776.89/16,251.99 = 6,399.22/x
  3. Step 3: Cross multiply
    11,776.89x = 16,251.99 × 6,399.22
  4. Step 4: Simplify right side
    11,776.89x = 104,000,061.29
  5. Step 5: Solve for x
    x = 104,000,061.29/11,776.89
  6. Step 6: Final answer
    x = 8,830.86

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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.