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Finding the Fourth Proportional to 7,446.92, 11,170.08 and 1,900.40

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Solution

The fourth proportional to 7,446.92, 11,170.08 and 1,900.40 is: 2,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.92 : 11,170.08 = 1,900.40 : x
  2. Step 2: Convert to fraction form
    7,446.92/11,170.08 = 1,900.40/x
  3. Step 3: Cross multiply
    7,446.92x = 11,170.08 × 1,900.40
  4. Step 4: Simplify right side
    7,446.92x = 21,227,620.03
  5. Step 5: Solve for x
    x = 21,227,620.03/7,446.92
  6. Step 6: Final answer
    x = 2,850.52

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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.