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Finding the Fourth Proportional to 10,608.10, 15,914.45 and 4,034.41

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Solution

The fourth proportional to 10,608.10, 15,914.45 and 4,034.41 is: 6,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.10 : 15,914.45 = 4,034.41 : x
  2. Step 2: Convert to fraction form
    10,608.10/15,914.45 = 4,034.41/x
  3. Step 3: Cross multiply
    10,608.10x = 15,914.45 × 4,034.41
  4. Step 4: Simplify right side
    10,608.10x = 64,205,396.05
  5. Step 5: Solve for x
    x = 64,205,396.05/10,608.10
  6. Step 6: Final answer
    x = 6,052.49

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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.