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Finding the Fourth Proportional to 10,799.87, 16,196.16 and 4,134.80

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Solution

The fourth proportional to 10,799.87, 16,196.16 and 4,134.80 is: 6,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.87 : 16,196.16 = 4,134.80 : x
  2. Step 2: Convert to fraction form
    10,799.87/16,196.16 = 4,134.80/x
  3. Step 3: Cross multiply
    10,799.87x = 16,196.16 × 4,134.80
  4. Step 4: Simplify right side
    10,799.87x = 66,967,801.39
  5. Step 5: Solve for x
    x = 66,967,801.39/10,799.87
  6. Step 6: Final answer
    x = 6,200.80

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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.