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Finding the Fourth Proportional to 7,310.50, 10,960.28 and 2,377.20

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Solution

The fourth proportional to 7,310.50, 10,960.28 and 2,377.20 is: 3,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.50 : 10,960.28 = 2,377.20 : x
  2. Step 2: Convert to fraction form
    7,310.50/10,960.28 = 2,377.20/x
  3. Step 3: Cross multiply
    7,310.50x = 10,960.28 × 2,377.20
  4. Step 4: Simplify right side
    7,310.50x = 26,054,777.62
  5. Step 5: Solve for x
    x = 26,054,777.62/7,310.50
  6. Step 6: Final answer
    x = 3,564.02

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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.