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Finding the Fourth Proportional to 10,801.68, 16,196.02 and 4,230.96

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Solution

The fourth proportional to 10,801.68, 16,196.02 and 4,230.96 is: 6,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.68 : 16,196.02 = 4,230.96 : x
  2. Step 2: Convert to fraction form
    10,801.68/16,196.02 = 4,230.96/x
  3. Step 3: Cross multiply
    10,801.68x = 16,196.02 × 4,230.96
  4. Step 4: Simplify right side
    10,801.68x = 68,524,712.78
  5. Step 5: Solve for x
    x = 68,524,712.78/10,801.68
  6. Step 6: Final answer
    x = 6,343.89

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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.