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Finding the Fourth Proportional to 11,096.84, 16,646.34 and 3,199.80

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Solution

The fourth proportional to 11,096.84, 16,646.34 and 3,199.80 is: 4,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.84 : 16,646.34 = 3,199.80 : x
  2. Step 2: Convert to fraction form
    11,096.84/16,646.34 = 3,199.80/x
  3. Step 3: Cross multiply
    11,096.84x = 16,646.34 × 3,199.80
  4. Step 4: Simplify right side
    11,096.84x = 53,264,958.73
  5. Step 5: Solve for x
    x = 53,264,958.73/11,096.84
  6. Step 6: Final answer
    x = 4,800.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.