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Finding the Fourth Proportional to 8,527.52, 12,794.34 and 2,982.39

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Solution

The fourth proportional to 8,527.52, 12,794.34 and 2,982.39 is: 4,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.52 : 12,794.34 = 2,982.39 : x
  2. Step 2: Convert to fraction form
    8,527.52/12,794.34 = 2,982.39/x
  3. Step 3: Cross multiply
    8,527.52x = 12,794.34 × 2,982.39
  4. Step 4: Simplify right side
    8,527.52x = 38,157,711.67
  5. Step 5: Solve for x
    x = 38,157,711.67/8,527.52
  6. Step 6: Final answer
    x = 4,474.66

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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.