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Finding the Fourth Proportional to 10,809.40, 16,212.76 and 2,912.54

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Solution

The fourth proportional to 10,809.40, 16,212.76 and 2,912.54 is: 4,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.40 : 16,212.76 = 2,912.54 : x
  2. Step 2: Convert to fraction form
    10,809.40/16,212.76 = 2,912.54/x
  3. Step 3: Cross multiply
    10,809.40x = 16,212.76 × 2,912.54
  4. Step 4: Simplify right side
    10,809.40x = 47,220,229.13
  5. Step 5: Solve for x
    x = 47,220,229.13/10,809.40
  6. Step 6: Final answer
    x = 4,368.44

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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.