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Finding the Fourth Proportional to 7,938.04, 11,906.54 and 2,094.68

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Solution

The fourth proportional to 7,938.04, 11,906.54 and 2,094.68 is: 3,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.04 : 11,906.54 = 2,094.68 : x
  2. Step 2: Convert to fraction form
    7,938.04/11,906.54 = 2,094.68/x
  3. Step 3: Cross multiply
    7,938.04x = 11,906.54 × 2,094.68
  4. Step 4: Simplify right side
    7,938.04x = 24,940,391.21
  5. Step 5: Solve for x
    x = 24,940,391.21/7,938.04
  6. Step 6: Final answer
    x = 3,141.88

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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.