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Finding the Fourth Proportional to 10,410.62, 15,608.62 and 3,835.94

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Solution

The fourth proportional to 10,410.62, 15,608.62 and 3,835.94 is: 5,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.62 : 15,608.62 = 3,835.94 : x
  2. Step 2: Convert to fraction form
    10,410.62/15,608.62 = 3,835.94/x
  3. Step 3: Cross multiply
    10,410.62x = 15,608.62 × 3,835.94
  4. Step 4: Simplify right side
    10,410.62x = 59,873,729.80
  5. Step 5: Solve for x
    x = 59,873,729.80/10,410.62
  6. Step 6: Final answer
    x = 5,751.22

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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.