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Finding the Fourth Proportional to 8,169.56, 12,249.86 and 3,784.60

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Solution

The fourth proportional to 8,169.56, 12,249.86 and 3,784.60 is: 5,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.56 : 12,249.86 = 3,784.60 : x
  2. Step 2: Convert to fraction form
    8,169.56/12,249.86 = 3,784.60/x
  3. Step 3: Cross multiply
    8,169.56x = 12,249.86 × 3,784.60
  4. Step 4: Simplify right side
    8,169.56x = 46,360,820.16
  5. Step 5: Solve for x
    x = 46,360,820.16/8,169.56
  6. Step 6: Final answer
    x = 5,674.82

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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.