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Finding the Fourth Proportional to 10,846.50, 16,269.75 and 2,638.50

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Solution

The fourth proportional to 10,846.50, 16,269.75 and 2,638.50 is: 3,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.50 : 16,269.75 = 2,638.50 : x
  2. Step 2: Convert to fraction form
    10,846.50/16,269.75 = 2,638.50/x
  3. Step 3: Cross multiply
    10,846.50x = 16,269.75 × 2,638.50
  4. Step 4: Simplify right side
    10,846.50x = 42,927,735.38
  5. Step 5: Solve for x
    x = 42,927,735.38/10,846.50
  6. Step 6: Final answer
    x = 3,957.75

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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.