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Finding the Fourth Proportional to 7,287.37, 10,921.38 and 2,902.42

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Solution

The fourth proportional to 7,287.37, 10,921.38 and 2,902.42 is: 4,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.37 : 10,921.38 = 2,902.42 : x
  2. Step 2: Convert to fraction form
    7,287.37/10,921.38 = 2,902.42/x
  3. Step 3: Cross multiply
    7,287.37x = 10,921.38 × 2,902.42
  4. Step 4: Simplify right side
    7,287.37x = 31,698,431.74
  5. Step 5: Solve for x
    x = 31,698,431.74/7,287.37
  6. Step 6: Final answer
    x = 4,349.78

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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.