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Finding the Fourth Proportional to 10,900.50, 16,350.90 and 3,109.31

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Solution

The fourth proportional to 10,900.50, 16,350.90 and 3,109.31 is: 4,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.50 : 16,350.90 = 3,109.31 : x
  2. Step 2: Convert to fraction form
    10,900.50/16,350.90 = 3,109.31/x
  3. Step 3: Cross multiply
    10,900.50x = 16,350.90 × 3,109.31
  4. Step 4: Simplify right side
    10,900.50x = 50,840,069.42
  5. Step 5: Solve for x
    x = 50,840,069.42/10,900.50
  6. Step 6: Final answer
    x = 4,664.01

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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.