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Finding the Fourth Proportional to 8,157.60, 12,226.95 and 3,765.90

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Solution

The fourth proportional to 8,157.60, 12,226.95 and 3,765.90 is: 5,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.60 : 12,226.95 = 3,765.90 : x
  2. Step 2: Convert to fraction form
    8,157.60/12,226.95 = 3,765.90/x
  3. Step 3: Cross multiply
    8,157.60x = 12,226.95 × 3,765.90
  4. Step 4: Simplify right side
    8,157.60x = 46,045,471.01
  5. Step 5: Solve for x
    x = 46,045,471.01/8,157.60
  6. Step 6: Final answer
    x = 5,644.49

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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.