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Finding the Fourth Proportional to 10,626.50, 15,940.32 and 3,230.40

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Solution

The fourth proportional to 10,626.50, 15,940.32 and 3,230.40 is: 4,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.50 : 15,940.32 = 3,230.40 : x
  2. Step 2: Convert to fraction form
    10,626.50/15,940.32 = 3,230.40/x
  3. Step 3: Cross multiply
    10,626.50x = 15,940.32 × 3,230.40
  4. Step 4: Simplify right side
    10,626.50x = 51,493,513.87
  5. Step 5: Solve for x
    x = 51,493,513.87/10,626.50
  6. Step 6: Final answer
    x = 4,845.76

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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.