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Finding the Fourth Proportional to 7,286.37, 10,930.29 and 2,902.80

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Solution

The fourth proportional to 7,286.37, 10,930.29 and 2,902.80 is: 4,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.37 : 10,930.29 = 2,902.80 : x
  2. Step 2: Convert to fraction form
    7,286.37/10,930.29 = 2,902.80/x
  3. Step 3: Cross multiply
    7,286.37x = 10,930.29 × 2,902.80
  4. Step 4: Simplify right side
    7,286.37x = 31,728,445.81
  5. Step 5: Solve for x
    x = 31,728,445.81/7,286.37
  6. Step 6: Final answer
    x = 4,354.49

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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.