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Finding the Fourth Proportional to 8,446.70, 12,665.80 and 2,602.56

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Solution

The fourth proportional to 8,446.70, 12,665.80 and 2,602.56 is: 3,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.70 : 12,665.80 = 2,602.56 : x
  2. Step 2: Convert to fraction form
    8,446.70/12,665.80 = 2,602.56/x
  3. Step 3: Cross multiply
    8,446.70x = 12,665.80 × 2,602.56
  4. Step 4: Simplify right side
    8,446.70x = 32,963,504.45
  5. Step 5: Solve for x
    x = 32,963,504.45/8,446.70
  6. Step 6: Final answer
    x = 3,902.53

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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.