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Finding the Fourth Proportional to 8,161.56, 12,235.86 and 2,964.60

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Solution

The fourth proportional to 8,161.56, 12,235.86 and 2,964.60 is: 4,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.56 : 12,235.86 = 2,964.60 : x
  2. Step 2: Convert to fraction form
    8,161.56/12,235.86 = 2,964.60/x
  3. Step 3: Cross multiply
    8,161.56x = 12,235.86 × 2,964.60
  4. Step 4: Simplify right side
    8,161.56x = 36,274,430.56
  5. Step 5: Solve for x
    x = 36,274,430.56/8,161.56
  6. Step 6: Final answer
    x = 4,444.55

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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.