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Finding the Fourth Proportional to 8,530.44, 12,797.86 and 3,334.60

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Solution

The fourth proportional to 8,530.44, 12,797.86 and 3,334.60 is: 5,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.44 : 12,797.86 = 3,334.60 : x
  2. Step 2: Convert to fraction form
    8,530.44/12,797.86 = 3,334.60/x
  3. Step 3: Cross multiply
    8,530.44x = 12,797.86 × 3,334.60
  4. Step 4: Simplify right side
    8,530.44x = 42,675,743.96
  5. Step 5: Solve for x
    x = 42,675,743.96/8,530.44
  6. Step 6: Final answer
    x = 5,002.76

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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.