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Finding the Fourth Proportional to 10,684.50, 16,024.89 and 2,891.49

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Solution

The fourth proportional to 10,684.50, 16,024.89 and 2,891.49 is: 4,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.50 : 16,024.89 = 2,891.49 : x
  2. Step 2: Convert to fraction form
    10,684.50/16,024.89 = 2,891.49/x
  3. Step 3: Cross multiply
    10,684.50x = 16,024.89 × 2,891.49
  4. Step 4: Simplify right side
    10,684.50x = 46,335,809.19
  5. Step 5: Solve for x
    x = 46,335,809.19/10,684.50
  6. Step 6: Final answer
    x = 4,336.73

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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.