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Finding the Fourth Proportional to 10,874.84, 16,314.30 and 6,200.12

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Solution

The fourth proportional to 10,874.84, 16,314.30 and 6,200.12 is: 9,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.84 : 16,314.30 = 6,200.12 : x
  2. Step 2: Convert to fraction form
    10,874.84/16,314.30 = 6,200.12/x
  3. Step 3: Cross multiply
    10,874.84x = 16,314.30 × 6,200.12
  4. Step 4: Simplify right side
    10,874.84x = 101,150,617.72
  5. Step 5: Solve for x
    x = 101,150,617.72/10,874.84
  6. Step 6: Final answer
    x = 9,301.34

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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.