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Finding the Fourth Proportional to 11,738.99, 16,199.79 and 6,433.80

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Solution

The fourth proportional to 11,738.99, 16,199.79 and 6,433.80 is: 8,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.99 : 16,199.79 = 6,433.80 : x
  2. Step 2: Convert to fraction form
    11,738.99/16,199.79 = 6,433.80/x
  3. Step 3: Cross multiply
    11,738.99x = 16,199.79 × 6,433.80
  4. Step 4: Simplify right side
    11,738.99x = 104,226,208.90
  5. Step 5: Solve for x
    x = 104,226,208.90/11,738.99
  6. Step 6: Final answer
    x = 8,878.64

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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.