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Finding the Fourth Proportional to 8,527.56, 12,793.32 and 2,684.76

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Solution

The fourth proportional to 8,527.56, 12,793.32 and 2,684.76 is: 4,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.56 : 12,793.32 = 2,684.76 : x
  2. Step 2: Convert to fraction form
    8,527.56/12,793.32 = 2,684.76/x
  3. Step 3: Cross multiply
    8,527.56x = 12,793.32 × 2,684.76
  4. Step 4: Simplify right side
    8,527.56x = 34,346,993.80
  5. Step 5: Solve for x
    x = 34,346,993.80/8,527.56
  6. Step 6: Final answer
    x = 4,027.76

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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.