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Finding the Fourth Proportional to 10,874.80, 16,317.60 and 6,198.40

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Solution

The fourth proportional to 10,874.80, 16,317.60 and 6,198.40 is: 9,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.80 : 16,317.60 = 6,198.40 : x
  2. Step 2: Convert to fraction form
    10,874.80/16,317.60 = 6,198.40/x
  3. Step 3: Cross multiply
    10,874.80x = 16,317.60 × 6,198.40
  4. Step 4: Simplify right side
    10,874.80x = 101,143,011.84
  5. Step 5: Solve for x
    x = 101,143,011.84/10,874.80
  6. Step 6: Final answer
    x = 9,300.68

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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.