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Finding the Fourth Proportional to 10,608.98, 15,915.96 and 3,213.50

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Solution

The fourth proportional to 10,608.98, 15,915.96 and 3,213.50 is: 4,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.98 : 15,915.96 = 3,213.50 : x
  2. Step 2: Convert to fraction form
    10,608.98/15,915.96 = 3,213.50/x
  3. Step 3: Cross multiply
    10,608.98x = 15,915.96 × 3,213.50
  4. Step 4: Simplify right side
    10,608.98x = 51,145,857.88
  5. Step 5: Solve for x
    x = 51,145,857.88/10,608.98
  6. Step 6: Final answer
    x = 4,821.00

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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.