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Finding the Fourth Proportional to 10,798.14, 16,199.50 and 6,120.30

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Solution

The fourth proportional to 10,798.14, 16,199.50 and 6,120.30 is: 9,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.14 : 16,199.50 = 6,120.30 : x
  2. Step 2: Convert to fraction form
    10,798.14/16,199.50 = 6,120.30/x
  3. Step 3: Cross multiply
    10,798.14x = 16,199.50 × 6,120.30
  4. Step 4: Simplify right side
    10,798.14x = 99,145,799.85
  5. Step 5: Solve for x
    x = 99,145,799.85/10,798.14
  6. Step 6: Final answer
    x = 9,181.75

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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.