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Finding the Fourth Proportional to 10,201.92, 15,303.12 and 3,276.48

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Solution

The fourth proportional to 10,201.92, 15,303.12 and 3,276.48 is: 4,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.92 : 15,303.12 = 3,276.48 : x
  2. Step 2: Convert to fraction form
    10,201.92/15,303.12 = 3,276.48/x
  3. Step 3: Cross multiply
    10,201.92x = 15,303.12 × 3,276.48
  4. Step 4: Simplify right side
    10,201.92x = 50,140,366.62
  5. Step 5: Solve for x
    x = 50,140,366.62/10,201.92
  6. Step 6: Final answer
    x = 4,914.80

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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.