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Finding the Fourth Proportional to 10,099.41, 15,149.24 and 3,525.63

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Solution

The fourth proportional to 10,099.41, 15,149.24 and 3,525.63 is: 5,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.41 : 15,149.24 = 3,525.63 : x
  2. Step 2: Convert to fraction form
    10,099.41/15,149.24 = 3,525.63/x
  3. Step 3: Cross multiply
    10,099.41x = 15,149.24 × 3,525.63
  4. Step 4: Simplify right side
    10,099.41x = 53,410,597.39
  5. Step 5: Solve for x
    x = 53,410,597.39/10,099.41
  6. Step 6: Final answer
    x = 5,288.49

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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.