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Finding the Fourth Proportional to 10,689.92, 16,033.46 and 3,294.62

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Solution

The fourth proportional to 10,689.92, 16,033.46 and 3,294.62 is: 4,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.92 : 16,033.46 = 3,294.62 : x
  2. Step 2: Convert to fraction form
    10,689.92/16,033.46 = 3,294.62/x
  3. Step 3: Cross multiply
    10,689.92x = 16,033.46 × 3,294.62
  4. Step 4: Simplify right side
    10,689.92x = 52,824,157.99
  5. Step 5: Solve for x
    x = 52,824,157.99/10,689.92
  6. Step 6: Final answer
    x = 4,941.49

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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.