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Finding the Fourth Proportional to 8,020.20, 12,041.10 and 6,378.60

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Solution

The fourth proportional to 8,020.20, 12,041.10 and 6,378.60 is: 9,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.20 : 12,041.10 = 6,378.60 : x
  2. Step 2: Convert to fraction form
    8,020.20/12,041.10 = 6,378.60/x
  3. Step 3: Cross multiply
    8,020.20x = 12,041.10 × 6,378.60
  4. Step 4: Simplify right side
    8,020.20x = 76,805,360.46
  5. Step 5: Solve for x
    x = 76,805,360.46/8,020.20
  6. Step 6: Final answer
    x = 9,576.49

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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.