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Finding the Fourth Proportional to 8,276.80, 12,415.20 and 2,433.48

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Solution

The fourth proportional to 8,276.80, 12,415.20 and 2,433.48 is: 3,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.80 : 12,415.20 = 2,433.48 : x
  2. Step 2: Convert to fraction form
    8,276.80/12,415.20 = 2,433.48/x
  3. Step 3: Cross multiply
    8,276.80x = 12,415.20 × 2,433.48
  4. Step 4: Simplify right side
    8,276.80x = 30,212,140.90
  5. Step 5: Solve for x
    x = 30,212,140.90/8,276.80
  6. Step 6: Final answer
    x = 3,650.22

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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.