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Finding the Fourth Proportional to 10,680.50, 16,020.76 and 3,755

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Solution

The fourth proportional to 10,680.50, 16,020.76 and 3,755 is: 5,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.50 : 16,020.76 = 3,755 : x
  2. Step 2: Convert to fraction form
    10,680.50/16,020.76 = 3,755/x
  3. Step 3: Cross multiply
    10,680.50x = 16,020.76 × 3,755
  4. Step 4: Simplify right side
    10,680.50x = 60,157,953.80
  5. Step 5: Solve for x
    x = 60,157,953.80/10,680.50
  6. Step 6: Final answer
    x = 5,632.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.