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Finding the Fourth Proportional to 10,205.92, 15,309.12 and 3,280.48

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Solution

The fourth proportional to 10,205.92, 15,309.12 and 3,280.48 is: 4,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.92 : 15,309.12 = 3,280.48 : x
  2. Step 2: Convert to fraction form
    10,205.92/15,309.12 = 3,280.48/x
  3. Step 3: Cross multiply
    10,205.92x = 15,309.12 × 3,280.48
  4. Step 4: Simplify right side
    10,205.92x = 50,221,261.98
  5. Step 5: Solve for x
    x = 50,221,261.98/10,205.92
  6. Step 6: Final answer
    x = 4,920.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.