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Finding the Fourth Proportional to 8,201.10, 12,305.12 and 4,041.15

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Solution

The fourth proportional to 8,201.10, 12,305.12 and 4,041.15 is: 6,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.10 : 12,305.12 = 4,041.15 : x
  2. Step 2: Convert to fraction form
    8,201.10/12,305.12 = 4,041.15/x
  3. Step 3: Cross multiply
    8,201.10x = 12,305.12 × 4,041.15
  4. Step 4: Simplify right side
    8,201.10x = 49,726,769.34
  5. Step 5: Solve for x
    x = 49,726,769.34/8,201.10
  6. Step 6: Final answer
    x = 6,063.42

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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.